Tootfinder

[2025-05-08 Thu (UTC), 3 new articles found for math.HO History and Overview]
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This https://arxiv.org/abs/2502.01760 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Type-II Seesaw Mechanism for Dirac Neutrinos and its Implications on $N_{\text{eff}}$ and Lepton Flavor Violation in a 3-3-1 model
In this study, we implement the type-II seesaw mechanism for Dirac neutrino masses within the framework of a 3-3-1 model. To this end, we introduce a scalar sextet and impose both lepton number conservation and invariance under a discrete $Z_2$ symmetry in the Lagrangian. This mechanism naturally generates small Dirac neutrino masses by allowing the soft breaking of the $Z_2$ symmetry through a unique term in the scalar potential, while preserving lepton number. Specifically, we explore the rea…

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map
Adam Grzela, Katarzyna Mazowiecka
https://arxiv.org/abs/2506.05060

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map
In 1998 T. Rivière proved that there exist infinitely many homotopy classes of $π_3(\mathbb S^2)$ having a minimizing 3-harmonic map. This result is especially surprising taking into account that in $π_3(\mathbb S^3)$ there are only three homotopy classes (corresponding to the degrees $\{-1,0,1\}$) in which a minimizer exists. We extend this theorem in the framework of fractional harmonic maps and prove that for $s\in(0,1)$ there exist infinitely many homotopy classes of $π_{3}(\mathbb S^…

This https://arxiv.org/abs/2401.04391 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Kawamata-Miyaoka type inequality for canonical $\mathbb Q$-Fano varieties II: Terminal $\mathbb Q$-Fano threefolds
We prove an optimal Kawamata-Miyaoka type inequality for terminal $\mathbb Q$-Fano threefolds with Fano index at least $3$. As an application, we obtain that any terminal $\mathbb Q$-Fano threefold $X$ satisfies the following Kawamata-Miyaoka type inequality \[ c_1(X)^3 < 3c_2(X)c_1(X). \]

This https://arxiv.org/abs/2506.00525 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Gravitomagnetism from Temporal Dimensional Reduction
We propose that the Taub-NUT metric can be envisaged as a (3+1) dimensional analog of the Kaluza-Klein (4+1) dimensional metric. After dimensional reduction of the Taub-NUT metric to (3) spatial dimensions, by treating time as the extra curled dimension (since the closed time-like curves can exist in the Taub-NUT framework, such a dimensional reduction is justified), we end up with three dimensional Einstein field equations plus the Maxwell equations for the gravitomagnetic field, which also ac…

Beyond the Desktop: XR-Driven Segmentation with Meta Quest 3 and MX Ink
Lisle Faray de Paiva, Gijs Luijten, Ana Sofia Ferreira Santos, Moon Kim, Behrus Puladi, Jens Kleesiek, Jan Egger
https://arxiv.org/abs/2506.04858

Beyond the Desktop: XR-Driven Segmentation with Meta Quest 3 and MX Ink
Medical imaging segmentation is essential in clinical settings for diagnosing diseases, planning surgeries, and other procedures. However, manual annotation is a cumbersome and effortful task. To mitigate these aspects, this study implements and evaluates the usability and clinical applicability of an extended reality (XR)-based segmentation tool for anatomical CT scans, using the Meta Quest 3 headset and Logitech MX Ink stylus. We develop an immersive interface enabling real-time interaction w…

The Centre of Attention: a Powerful Radio Galaxy Pinpoints a NIR-Dark Protocluster at z~3.9
A. J. Hedge, N. Seymour, J. W. Broderick, A. Gupta, J. Afonso, L. Ighina, M. Lehnert, G. Noirot, S. Shabala, D. Stern, R. J. Turner
https://arxiv.org/abs/2506.04747

The Centre of Attention: a Powerful Radio Galaxy Pinpoints a NIR-Dark Protocluster at z~3.9
We report the discovery of a $z\sim3.9$ protocluster identified from Atacama Large Millimetre/sub-millimetre Array Band 3 spectral scans of a bright radio source selected from the GaLactic and Extra-galactic All-sky Murchison Widefield Array (GLEAM) survey. Extended CO(4-3) and [CI](1-0) line emission was detected in GLEAM J005332$-$325630 confirming it to be a $z=3.879$ powerful radio galaxy with luminosity, $L_{500 MHz}=1.3\times10^{28}$ ${W Hz}^{-1}$. This source is part of a sample of candi…

This https://arxiv.org/abs/2505.17212 has been replaced.
initial toot: https://mastoxiv.page/@a…

Engineering Altermagnetism via Layer Shifts and Spin Order in Bilayer MnPS$_3$
We investigate how stacking configuration and magnetic ordering determine the magnetic phases of bilayer MnPS$_3$, using density-functional theory and spin-Laue symmetry analysis. While monolayer MnPS$_3$ is a collinear antiferromagnet with no spin splitting, our calculations show that the bilayer can host either Type II (AFM) or Type III (altermagnetic) phases depending sensitively on stacking and spin alignment. We focus on two representative stackings: AA, where the top layer sits directly a…

This https://arxiv.org/abs/2312.00138 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Scalar curvature and volume entropy of hyperbolic 3-manifolds
We show that any closed hyperbolic 3-manifold M admits a Riemannian metric with scalar curvature at least -6, but with volume entropy strictly larger than 2. In particular, this construction gives counterexamples to a conjecture of I. Agol, P. Storm and W. Thurston.

[2025-05-08 Thu (UTC), no new articles found for physics.atm-clus Atomic and Molecular Clusters]
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This https://arxiv.org/abs/2503.05408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDC_…

Efficient Parallel Scheduling for Sparse Triangular Solvers
We develop and analyze new scheduling algorithms for solving sparse triangular linear systems (SpTRSV) in parallel. Our approach produces highly efficient synchronous schedules for the forward- and backward-substitution algorithm. Compared to state-of-the-art baselines HDagg and SpMP, we achieve a $3.32 \times$ and $1.42 \times$ geometric-mean speed-up, respectively. We achieve this by obtaining an up to $12.07 \times$ geometric-mean reduction in the number of synchronization barriers over HDag…

This https://arxiv.org/abs/2505.24739 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Contrast-Invariant Self-supervised Segmentation for Quantitative Placental MRI
Accurate placental segmentation is essential for quantitative analysis of the placenta. However, this task is particularly challenging in T2*-weighted placental imaging due to: (1) weak and inconsistent boundary contrast across individual echoes; (2) the absence of manual ground truth annotations for all echo times; and (3) motion artifacts across echoes caused by fetal and maternal movement. In this work, we propose a contrast-augmented segmentation framework that leverages complementary infor…

This https://arxiv.org/abs/2502.11753 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csAI_…

HintsOfTruth: A Multimodal Checkworthiness Detection Dataset with Real and Synthetic Claims
Misinformation can be countered with fact-checking, but the process is costly and slow. Identifying checkworthy claims is the first step, where automation can help scale fact-checkers' efforts. However, detection methods struggle with content that is (1) multimodal, (2) from diverse domains, and (3) synthetic. We introduce HintsOfTruth, a public dataset for multimodal checkworthiness detection with 27K real-world and synthetic image/claim pairs. The mix of real and synthetic data makes this dat…

This https://arxiv.org/abs/2502.14578 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

The massive BMS character in 3D quantum gravity
We derive the one-loop partition function for three-dimensional quantum gravity in a finite-radius thermal twisted flat space with a conical defect, reproducing the massive BMS$_3$ character. We perform the computation in both discrete and continuum geometry formulations, showing consistency between them. In the discrete case, we integrate out bulk degrees of freedom in a Regge gravity framework, while in the continuum, we construct a dual non-local boundary field theory encoding geodesic lengt…

[2025-06-06 Fri (UTC), 3 new articles found for cs.AR Hardware Architecture]
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Characterization of Infinite Ideal Polyhedra in Hyperbolic 3-Space via Combinatorial Ricci Flow
Huabin Ge, Bobo Hua, Hao Yu, Puchun Zhou
https://arxiv.org/abs/2506.05036

Characterization of Infinite Ideal Polyhedra in Hyperbolic 3-Space via Combinatorial Ricci Flow
In his seminal work \cite{Ri96}, Rivin characterized finite ideal polyhedra in three-dimensional hyperbolic space. However, the characterization of infinite ideal polyhedra, as proposed by Rivin, has remained a long-standing open problem. In this paper, we introduce the combinatorial Ricci flow for infinite ideal circle patterns, a discrete analogue of Ricci flow on non-compact Riemannian manifolds, and prove a characterization of such circle patterns under certain combinatorial conditions. Our…

This https://arxiv.org/abs/2501.08301 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

A Disintegrating Rocky World Shrouded in Dust and Gas: Mid-IR Observations of K2-22b using JWST
The disintegrating ultra-short period rocky exoplanet K2-22b periodically emits dusty clouds in a dynamically chaotic process resulting in a variable transit depth from 0-1.3%. The effluents that sublimate off the surface and condense out in space are probably representative of the formerly interior layers convectively transported to the molten surface. Transmission spectroscopy of these transiting clouds reveal spectral fingerprints of the interior composition of this rocky world. We used JWST…

Conformal nets from minimal W-algebras
Sebastiano Carpi, Tiziano Gaudio
https://arxiv.org/abs/2506.04270 https://arxiv.org/pdf/2506.0…

Conformal nets from minimal W-algebras
We show the strong graded locality of all unitary minimal W-algebras, so that they give rise to irreducible graded-local conformal nets. Among these unitary vertex superalgebras, up to taking tensor products with free fermion vertex superalgebras, there are the unitary Virasoro vertex algebras (N=0) and the unitary N=1,2,3,4 super-Virasoro vertex superalgebras. Accordingly, we have a uniform construction that gives, besides the already known N=0,1,2 super-Virasoro nets, also the new N=3,4 super…

This https://arxiv.org/abs/2504.17644 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Bounded diagonal orbits in homogeneous spaces over function fields
This paper is about topological rigidity of diagonal group actions on the homogeneous $\SL_4\big(\F(\!(t^{-1})\!)\big)/\SL_4(\F[t])$ where $\F$ is a finite field of characteristic $3$. We show that there is a non-closed relatively compact orbit of the diagonal group.

Frustrated $J_1-J_2$ Diamond Lattice Antiferromagnet Co$_2$Ti$_3$O$_8$ with a Vacancy-ordered Spinel Structure Synthesized via a Topochemical Reaction
Rio Kumeda, Yuya Haraguchi, Daisuke Nishio-Hamane, Akira Matsuo, Koichi Kindo, Hiroko Aruga Katori
https://arxiv.org/abs/2506.05099

Frustrated $J_1-J_2$ Diamond Lattice Antiferromagnet Co$_2$Ti$_3$O$_8$ with a Vacancy-ordered Spinel Structure Synthesized via a Topochemical Reaction
Metastable Co$_2$Ti$_3$O$_8$ was synthesized through a topochemical reaction using Li$_2$CoTi$_3$O$_8$ as the precursor, resulting in a vacancy-ordered spinel structure. Crystal structure analysis confirmed that Co ions selectively occupy the A-site, giving rise to a frustrated diamond lattice. Magnetic susceptibility and heat capacity measurements revealed antiferromagnetic order at 4.4 K, which is markedly suppressed compared to the negative Weiss temperature of ${\sim}-27$ K, indicating a hi…

[2025-06-06 Fri (UTC), 3 new articles found for cs.NE Neural and Evolutionary Computing]
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This https://arxiv.org/abs/2505.00514 has been replaced.
initial toot: https://mastoxiv.page/@a…

Signatures of three-dimensional photo-induced superconductivity in YBa$_2$Cu$_3$O$_{6.48}$
Optical excitation of large-amplitude apical oxygen phonon oscillations has been shown to renormalize the electronic properties of YBa$_2$Cu$_3$O$_{6+x}$, inducing a superconducting-like optical response above equilibrium $T_C$. All of the evidence collected so far has been based on the changes of the THz frequency $c$-axis response. In these measurements, the capacitive interlayer coupling was seen to transform into a superconducting-like inductive response. This assignment was strengthened by…

This https://arxiv.org/abs/2407.01203 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An elementary proof of a criterion for subfunctors of Ext to be closed
Let $\mathcal{A}$ be an abelian category and let $F$ be a subbifunctor of the additive bifunctor $\text{Ext}_{\mathcal{A}}^{1}(-,-)\colon \mathcal{A}^{\text{op}}\times \mathcal{A}\to \mathsf{Ab}$. Buan proved in [4] that $F$ is closed if, and only if, $F$ has the $3\times 3$-lemma property, a certain diagrammatic property satisfied by the class of $F$-exact sequences. The proof of this result relies on the theory of exact categories and on the Freyd--Mitchell embedding theorem, a very well-know…

[2025-06-06 Fri (UTC), 3 new articles found for cs.SI Social and Information Networks]
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This https://arxiv.org/abs/2408.03218 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Limit theorems for the number of crossings and stress in projections of the random geometric graph
We consider the number of edge crossings in a random graph drawing generated by projecting a random geometric graph on some compact convex set $W\subset \mathbb{R}^d$, $d\geq 3$, onto a plane. The positions of these crossings form the support of a point process. We show that if the expected number of crossings converges to a positive but finite value, this point process converges to a Poisson point process in the Kantorovich-Rubinstein distance. We further show a multivariate central limit theo…

Fast Luminous Extragalactic Transients in the VLA Sky Survey: Implications for the rates of Accretion-Induced Collapse Events, Fast Blue Optical Transients and Gamma Ray Burst Afterglows
Kritti Sharma, Vikram Ravi, Dillon Z. Dong, Gregg Hallinan, Casey Law, Delina Levine, Jean J. Somalwar, Jessie Miller, Nikita Kosogorov, Steven T. Myers
https://

Fast Luminous Extragalactic Transients in the VLA Sky Survey: Implications for the rates of Accretion-Induced Collapse Events, Fast Blue Optical Transients and Gamma Ray Burst Afterglows
Radio wavelengths offer a unique window into high-energy astrophysical phenomena that may be obscured or too rapidly evolving to be captured at other wavelengths. Leveraging data from the Very Large Array Sky Survey, we perform a systematic search for fast, luminous transients with characteristic timescales $\lesssim 3$ years in the nearby universe ($z \leq 0.3$). We report the discovery of five such transients, and classify them based on their synchrotron emission energetics and host galaxy pr…

[2025-06-06 Fri (UTC), 3 new articles found for math.AC Commutative Algebra]
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This https://arxiv.org/abs/2310.00940 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

1-planar unit distance graphs
A matchstick graph is a plane graph with edges drawn as unit distance line segments. This class of graphs was introduced by Harborth who conjectured that a matchstick graph on $n$ vertices can have at most $\lfloor 3n - \sqrt{12n - 3}\rfloor$ edges. Recently, his conjecture was settled by Lavollée and Swanepoel. In this paper we consider $1$-planar unit distance graphs. We say that a graph is a $1$-planar unit distance graph if it can be drawn in the plane such that all edges are drawn as unit…

This https://arxiv.org/abs/2505.13762 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

From Structural Design to Dynamics Modeling: Control-Oriented Development of a 3-RRR Parallel Ankle Rehabilitation Robot
This paper presents the development of a wearable ankle rehabilitation robot based on a 3-RRR spherical parallel mechanism (SPM) to support multi-DOF recovery through pitch, roll, and yaw motions. The system features a compact, ergonomic structure designed for comfort, safety, and compatibility with ankle biomechanics. A complete design-to-dynamics pipeline has been implemented, including structural design, kinematic modeling for motion planning, and Lagrangian-based dynamic modeling for torque…

This https://arxiv.org/abs/2402.14796 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Explicit formulae for linear characters of $Γ_0(N)$
We give explicit formulae for a class of complex linear unitary characters of the congruence subgroups $Γ_0(N)$ which involve a variant of Rademacher's $Ψ$ function. We then prove that these characters cover all characters of $Γ_0(N)$ precisely when $N=1,2,3,4,5,6,7,8,10,12,13$.

Polarized Neutrons at ISIS: Recent Developments And Highlights
Polly Mitchell, Holly I. Barnfield, Mark Devonport, Kirill Nemkovski, G{\o}ran J. Nilsen, Peter Galsworthy, Gavin B. G. Stenning
https://arxiv.org/abs/2506.05148

Polarized Neutrons at ISIS: Recent Developments And Highlights
We present two recent projects which aim to improve the performance of polarized neutron scattering experiments using hyperpolarized $^{3}He$ spin filters at ISIS. The first is the optimization of a new compact magnetostatic cavity ("Magic Box") to house the $^{3}He$ spin filters based on an existing design. With a length of only 380 mm, it provides a field gradient relaxation time for the $^{3}He$ cell of 421 h in ambient conditions. It also contains a radiofrequency coil for adiabatic fast pa…

This https://arxiv.org/abs/2412.04116 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Polyhedral products associated to pseudomanifolds
We study the homotopy theory of polyhedral products associated to a combinatorial generalisation of manifolds known as pseudomanifolds. As special cases, we show that loop spaces of moment-angle manifolds associated to triangulations of $S^2$ and $S^3$ decompose as a product of spheres and loops on spheres.

[2025-06-06 Fri (UTC), 3 new articles found for econ.EM Econometrics]
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[2025-06-06 Fri (UTC), 3 new articles found for math.CV Complex Variables]
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This https://arxiv.org/abs/2502.20495 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Highly Variable Magnetic Pressure-Driven YSO Jets in the Polar Cavity from Toroidal Fields Generated by Inner Disk Accretion
Jets and outflows are commonly observed in young stellar objects (YSOs), yet their origins remain debated. Using 3D non-ideal magnetohydrodynamic (MHD) simulations of a circumstellar disk threaded by a large-scale open poloidal magnetic field, we identify three components in the disk-driven outflow: (1) a fast, collimated jet, (2) a less collimated, slower laminar disk wind, and (3) a magneto-rotational instability (MRI)-active turbulent disk wind that separates the former two. At high altitude…

[2025-06-06 Fri (UTC), 3 new articles found for math.MG Metric Geometry]
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This https://arxiv.org/abs/2412.05402 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Numerical schemes for a fully nonlinear coagulation-fragmentation model coming from wave kinetic theory
This article introduces a novel numerical approach, based on Finite Volume Techniques, for studying fully nonlinear coagulation-fragmentation models, where both the coagulation and fragmentation components of the collision operator are nonlinear. The models come from $3-$wave kinetic equations, a pivotal framework in wave turbulence theory. Despite the importance of wave turbulence theory in physics and mechanics, there have been very few numerical schemes for $3-$wave kinetic equations, in whi…

This https://arxiv.org/abs/2501.14274 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Exotic proper actions on homogeneous spaces via convex cocompact representations
We construct a series of homogeneous spaces G/H of reductive type which admit proper actions of discrete subgroups of G isomorphic to cocompact lattices of O(n,1) (n=2,3,4) but do not admit proper actions of non-compact semisimple subgroups of G. The existence of such homogeneous spaces was previously not known even for n=2. Our construction of proper actions of discrete subgroups is based on Guéritaud-Kassel's work on convex cocompact subgroups of O(n,1) and Danciger-Guéritaud-Kassel's work …

Facts are Harder Than Opinions -- A Multilingual, Comparative Analysis of LLM-Based Fact-Checking Reliability
Lorraine Saju, Arnim Bleier, Jana Lasser, Claudia Wagner
https://arxiv.org/abs/2506.03655

Facts are Harder Than Opinions -- A Multilingual, Comparative Analysis of LLM-Based Fact-Checking Reliability
The proliferation of misinformation necessitates scalable, automated fact-checking solutions. Yet, current benchmarks often overlook multilingual and topical diversity. This paper introduces a novel, dynamically extensible data set that includes 61,514 claims in multiple languages and topics, extending existing datasets up to 2024. Through a comprehensive evaluation of five prominent Large Language Models (LLMs), including GPT-4o, GPT-3.5 Turbo, LLaMA 3.1, and Mixtral 8x7B, we identify signific…

This https://arxiv.org/abs/2505.18889 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

Security Concerns for Large Language Models: A Survey
Large Language Models (LLMs) such as GPT-4 (and its recent iterations like GPT-4o and the GPT-4.1 series), Google's Gemini, Anthropic's Claude 3 models, and xAI's Grok have caused a revolution in natural language processing, but their capabilities also introduce new security vulnerabilities. In this survey, we provide a comprehensive overview of the emerging security concerns around LLMs, categorizing threats into prompt injection and jailbreaking, adversarial attacks (including input perturbat…

This https://arxiv.org/abs/2505.15724 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects
We are employing a supersymmetric variant of the worldline quantum field theory (WQFT) formalism to compute the far-field momentum-space gravitational waveform emitted during the scattering of two spinning black holes at next-to-leading order (NLO) in the post-Minkowskian expansion. Our results are accurate up to quadratic-in-spin contributions, which means we report for the very first time the waveform observable at the order $\mathcal{O}(G^3\mathcal{S}^2)$. Our computation is based on mapping…

This https://arxiv.org/abs/2503.03758 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Classical periodic orbits in extended phase space for spherical harmonic oscillator with spin-orbit coupling
A complete analysis of classical periodic orbits (POs) and their bifurcations was conducted in spherical harmonic oscillator system with spin-orbit coupling. The motion of the spin is explicitly considered using the spin canonical variables derived by semiclassical approximation to the spin coherent state path integral representation. In addition to the diametric and two circular PO families with frozen spin, solutions that bridge two circular POs are found in which orbital motion is coupled to…

A Framework Leveraging Large Language Models for Autonomous UAV Control in Flying Networks
Diana Nunes, Ricardo Amorim, Pedro Ribeiro, Andr\'e Coelho, Rui Campos
https://arxiv.org/abs/2506.04404

A Framework Leveraging Large Language Models for Autonomous UAV Control in Flying Networks
This paper proposes FLUC, a modular framework that integrates open-source Large Language Models (LLMs) with Unmanned Aerial Vehicle (UAV) autopilot systems to enable autonomous control in Flying Networks (FNs). FLUC translates high-level natural language commands into executable UAV mission code, bridging the gap between operator intent and UAV behaviour. FLUC is evaluated using three open-source LLMs - Qwen 2.5, Gemma 2, and LLaMA 3.2 - across scenarios involving code generation and mission …

This https://arxiv.org/abs/2308.00603 has been replaced.
initial toot: https://mastoxiv.page/@a…

Thinking Hard About Physics Before Calculating: An Example from Pendulum Physics
This paper aims to show how to guide students with a familiar example to extract as much physics as possible before jumping into mathematical calculation. The period for a physical pendulum made up of a uniform rod is changed by attaching a piece of putty on it. The period for the combined system depends on the location of the putty. Simple reasoning without calculation shows that there are two locations for the putty that do not change the period of the physical pendulum: the axis and the cent…

[2025-06-06 Fri (UTC), 3 new articles found for physics.chem-ph Chemical Physics]
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This https://arxiv.org/abs/2407.18337 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Direct3γ: A Pipeline for Direct Three-gamma PET Image Reconstruction
This paper presents a novel image reconstruction pipeline for three-gamma (3-γ) positron emission tomography (PET) aimed at improving spatial resolution and reducing noise in nuclear medicine. The proposed Direct3γ pipeline addresses the inherent challenges in 3-γ PET systems, such as detector imperfections and uncertainty in photon interaction points. A key feature of the pipeline is its ability to determine the order of interactions through a model trained on Monte Carlo (MC) simulations u…

Max/Min Puzzles in Geometry IV
James M Parks
https://arxiv.org/abs/2505.03744 https://arxiv.org/pdf/2505.03744

Max/Min Puzzles in Geometry IV
In the previous paper, Max/Min Puzzles in Geometry III, we searched for the smallest area triangle which contained a regular unit polygon (Square, Pentagon, Hexagon). In this paper we will work in 3-dimensions, and search for the smallest regular Tetrahedron which contains a regular unit polyhedron (Cube, Octahedron, Icosahedron, Dodecahedron).

This https://arxiv.org/abs/2503.22664 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Identities of relatively free algebras of Lie nilpotent associative algebras
In this paper, we consider the relatively free algebra of rank $n$, $F_n(\mathfrak{N}_p)$, in the variety of Lie nilpotent associative algebras of index $p$, denoted by $\mathfrak{N}_p$, over a field of characteristic zero. We describe an explicit minimal basis for the polynomial identities of $F_n(\mathfrak{N}_p)$ when $p=3$ and $p=4$, for all $n$, except for $F_3(\mathfrak{N}_4)$. In the general case, we exhibit a lower and an upper bound for the minimal $k$ such that $[x_1,x_2]\cdots[x_{2k-1…

[2025-05-07 Wed (UTC), no new articles found for physics.atm-clus Atomic and Molecular Clusters]
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This https://arxiv.org/abs/2406.15909 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Fibred surfaces and their unitary rank
Let $f\colon S\to B$ a complex fibred surface with fibres of genus $g\geq 2$. Let $u_f$ be its unitary rank, i.e., the rank of the maximal unitary summand of the Hodge bundle $f_*ω_f$. We prove many new slope inequalities involving $u_f$ and some other invariants of the fibration. As applications: (1) we prove a new Xiao-type bound on $u_f$ with respect to $g$ for non-isotrivial fibrations: \[ u_f< g\frac{5g-2}{6g-3}. \] In particular this implies that if $f$ is not locally trivial and $u_f=…

Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$
Gerard Orriols, Tristan Rivi\`ere
https://arxiv.org/abs/2506.05141 https://

Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$
We establish the lower bound of $4π(1+g)$ for the area of the Gauss map of any immersion of a closed oriented surface of genus $g$ into $\mathbb{S}^3$, taking values in the Grassmannian of $2$-planes in $\mathbb{R}^4$. This lower bound is proved to be optimal for any genus $g \in \mathbb{N}$ but attained only when $g = 0$. For $g \neq 0$ we describe the behavior of any minimizing sequence of embeddings: we prove that, modulo extraction of a subsequence, the surfaces converge in the Hausdorff d…

This https://arxiv.org/abs/2406.10865 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the refined analyticity radius of 3-D generalized Navier-Stokes equations
We analyze the instantaneous growth of analyticity radius for three dimensional generalized Navier-Stokes equations. For the subcritical $H^γ(\mathbb R^3)$ case with $γ>\frac12,$ we prove that there exists a positive time $t_0$ so that for any $t\in]0, t_0]$, the radius of analyticity of the solution $u$ satisfies the pointwise-in-time lower bound $${\mathrm{rad}}(u)(t)\ge \sqrt{(2γ-1)t\bigl(|\ln t|+\ln|\ln t|+K_t\bigr)},$$ where $K_t \to \infty$ as $t\to 0^+$. This in pa…

This https://arxiv.org/abs/2503.09920 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity
In the present study, we analyze the effects of violation of Lorentz symmetry for black-bounce solutions in a $k$-essence theory that has the form of a power law for the configuration $n=1/3$. We perform such analysis for a known model explored in previous work $Σ^2=x^2+a^2$ and complement the proposal with a new black-bounce model for the area functions $Σ^2_1=\sqrt{x^4+d^4}$. This model has the Schwarzschild-de Sitter asymptomatic behavior for $x\to{-\infty}$, and we investigate the scalar …

This https://arxiv.org/abs/2506.04031 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Brightest Group Galaxies IV: Probing Size--Mass Relation and Morphological Quenching in COSMOS-Web from $z = 3.7$
We present a comprehensive study of the structural evolution of Brightest Group Galaxies (BGGs) from redshift $z \simeq 0.08$ to $z = 3.7$ using the \textit{James Webb Space Telescope}'s 255h COSMOS-Web program. This survey provides deep NIRCam imaging in four filters (F115W, F150W, F277W, F444W) across $\sim 0.54~\mathrm{deg}^2$ and MIRI coverage in $\sim 0.2~\mathrm{deg}^2$ of the COSMOS field. High-resolution NIRCam imaging enables robust size and morphological measurements, while multiwavel…

This https://arxiv.org/abs/2408.08683 has been replaced.
initial toot: https://mastoxiv.page/@a…

Atomic and inter-atomic orbital magnetization induced in SrTiO$_3$ by chiral phonons
An unexpectedly large transient magnetization induced by circularly polarized ferroelectric phonons was recently observed in a nonmagnetic insulator SrTiO3 [Nature 628, 534 (2024)]. We use a minimal molecular orbital model to demonstrate two electronic contributions to this effect. An atomic orbital contribution arises from the pumping of orbital angular momentum of Ti by chiral motion of coordinating oxygen atoms. An additional inter-atomic contribution is associated with the transient circula…

This https://arxiv.org/abs/2506.01186 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

3-manifolds with more than one abelian embedding
We construct 3-manifolds which have at least two inequivalent embeddings such that both complementary regions have abelian fundamental group.

This https://arxiv.org/abs/2506.00689 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Mutual-visibility of the disjointness graph of segments in ${\mathbb R}^2$
Let $G=(V(G),E(G))$ be a simple graph, and let $U\subseteq V(G)$. Two distinct vertices $x,y\in U$ are $U$-mutually visible if $G$ contains a shortest $x$-$y$ path that is internally disjoint from $U$. $U$ is called a mutual-visibility set of $G$ if any two vertices of $U$ are $U$-mutually visible. The mutual-visibility number $μ(G)$ of $G$ is the size of a largest mutual-visibility set of $G$. Let $P$ be a set of $n\geq 3$ points in ${\mathbb R}^2$ in general position. The disjointness graph …

This https://arxiv.org/abs/2506.01870 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Various irrational series involving binomial coefficients
Motivated by Galois theory, we propose some new irrational series of Ramanujan's type or Zeilberger's type. For example, we conjecture that \begin{equation*}\sum_{k=1}^\infty\frac{\binom{2k}k^2\binom{4k}{2k}}{(84-32\sqrt6)^{4k}} \left(280k+5\sqrt6+26\right)=\frac3π(2\sqrt3+33\sqrt2) \end{equation*} and \begin{align*}&\sum_{k=1}^\infty\frac{(27(37102-15147\sqrt6))^k}{k^3\binom{2k}k^2\binom{3k}k} \left(9k(11\sqrt6+51)-2(19\sqrt6+54)\right) \\&\qquad=\frac{5625}2\left(\sqrt6 L_{-24}(2)-3G\r…

This https://arxiv.org/abs/2504.20227 has been replaced.
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On the CFT dual of superstring on AdS$_3$
In this work, we study the proposed duality between superstring on AdS$_3\times$S$^3\times\mathbb{T}^4$ with pure NS-NS flux and a deformed symmetric orbifold CFT. We extract the residues of 3-point string correlators at their next-to-leading poles, which can be expressed as integrals. Because of picture changing, the integrand is not unique. We make an ansatz for its proper form which linearly combines three different picture choices. On the CFT side, we obtain the corresponding residues by do…

This https://arxiv.org/abs/2412.18148 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csAI_…

Are We in the AI-Generated Text World Already? Quantifying and Monitoring AIGT on Social Media
Social media platforms are experiencing a growing presence of AI-Generated Texts (AIGTs). However, the misuse of AIGTs could have profound implications for public opinion, such as spreading misinformation and manipulating narratives. Despite its importance, it remains unclear how prevalent AIGTs are on social media. To address this gap, this paper aims to quantify and monitor the AIGTs on online social media platforms. We first collect a dataset (SM-D) with around 2.4M posts from 3 major social…

This https://arxiv.org/abs/2307.14984 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSI_…

S$^3$: Social-network Simulation System with Large Language Model-Empowered Agents
Social network simulation plays a crucial role in addressing various challenges within social science. It offers extensive applications such as state prediction, phenomena explanation, and policy-making support, among others. In this work, we harness the formidable human-like capabilities exhibited by large language models (LLMs) in sensing, reasoning, and behaving, and utilize these qualities to construct the S$^3$ system (short for $\textbf{S}$ocial network $\textbf{S}$imulation $\textbf{S}$y…

This https://arxiv.org/abs/2406.13240 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

$ω$-weak equivalences between weak $ω$-categories
We study $ω$-weak equivalences between weak $ω$-categories in the sense of Batanin-Leinster. Our $ω$-weak equivalences are strict $ω$-functors satisfying essential surjectivity in every dimension, and when restricted to those between strict $ω$-categories, they coincide with the weak equivalences in the model category of strict $ω$-categories defined by Lafont, Métayer, and Worytkiewicz. We show that the class of $ω$-weak equivalences has the 2-out-of-3 property. We also consider a gene…

This https://arxiv.org/abs/2501.00247 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Spectra of Magnetoroton and Chiral Graviton Modes of Fractional Chern Insulator
Employing the state-of-the-art time-dependent variational principle (TDVP) algorithm, we compute the spectra of charge-neutral excitations in the $ν=1/2$ (bosonic) \updated{ and $1/3$ (fermionic) fractional Chern insulator (FCI)} on the Haldane honeycomb lattice model. The magnetoroton visualized from the dynamic density structure factor acquires a minimum gap at finite momentum that can go soft with increasing interaction and give rise to a charge density wave (CDW) at the same wavevector. As…

This https://arxiv.org/abs/2409.14156 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Computing the Proximal Operator of the $q$-th Power of the $\ell_{1,q}$-norm for Group Sparsity
In this note, we comprehensively characterize the proximal operator of the $q$-th power of the $\ell_{1,q}$-norm (denoted by $\ell_{1,q}^{q}$) with $0\!<\!q\!<\!1$ by exploiting the well-known proximal operator of $|\cdot|^q$ on the real line. In particular, much more explicit characterizations can be obtained whenever $q\!=\!1/2$ and $q\!=\!2/3$ due to the existence of closed-form expressions for the proximal operators of $|\cdot|^{1/2}$ and $|\cdot|^{2/3}$. Numer…

This https://arxiv.org/abs/2410.13634 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Additional first order equation for infinitesimal bendings of smooth surfaces in the isothermal coordinates
The article contributes to the theory of infinitesimal bendings of smooth surfaces in Euclidean 3-space. We derive a linear differential equation of the first order, which previously did not appear in the literature and which is satisfied by any Darboux rotation field of a smooth surface. We show that, for some surfaces, this additional equation is functionally independent of the three standard equations that the Darboux rotation field satisfies (and by which it is determined). As a consequence…

The QPO in REJ1034 396 originates in the hot corona
Chloe Taylor, Daniel Wilkins, Steven Allen
https://arxiv.org/abs/2506.04347 https://

The QPO in REJ1034+396 originates in the hot corona
REJ1034+396 is one of the few active galactic nuclei with a significant quasi-periodic oscillation (QPO). The QPO has been observed in over 1 Ms of XMM-Newton observations spanning over a decade. We investigate the power spectral density function (PSD) of 7 long (~90 ks) XMM-Newton observations of the active galactic nucleus REJ1034+396 in two energy bands. The soft (0.3-0.5 keV) band targets emission from the disk, while the hard (2-7 keV) band isolates the primary X-ray continuum emission fro…

iRonCub 3: The Jet-Powered Flying Humanoid Robot
Davide Gorbani, Hosameldin Awadalla Omer Mohamed, Giuseppe L'Erario, Gabriele Nava, Punith Reddy Vanteddu, Shabarish Purushothaman Pillai, Antonello Paolino, Fabio Bergonti, Saverio Taliani, Alessandro Croci, Nicholas James Tremaroli, Silvio Traversaro, Bruno Vittorio Trombetta, Daniele Pucci
https…

iRonCub 3: The Jet-Powered Flying Humanoid Robot
This article presents iRonCub 3, a jet-powered humanoid robot, and its first flight experiments. Unlike traditional aerial vehicles, iRonCub 3 aims to achieve flight using a full-body humanoid form, which poses unique challenges in control, estimation, and system integration. We highlight the robot's current mechanical and software architecture, including its propulsion system, control framework, and experimental infrastructure. The control and estimation framework is first validated in simulat…

This https://arxiv.org/abs/2206.05492 has been replaced.
link: https://scholar.google.com/scholar?q=a

Varieties of Nodal surfaces, coding theory and Discriminants of cubic hypersurfaces. Part 1: Generalities and nodal K3 surfaces. Part 2: Cubic Hypersurfaces, associated discriminants. Part 3: Nodal quintics. Part 4: Nodal sextics
We attach two binary codes to a projective nodal surface (the strict code K and, for even degree d, the extended code K' ) to investigate the `Nodal Severi varieties F(d, n) of nodal surfaces in P^3 of degree d and with n nodes, and their incidence hierarchy, relating partial smoothings to code shortenings. Our first main result solves a question which dates back over 100 years: the irreducible components of F(4, n) are in bijection with the isomorphism classes of their extended codes K', and t…

This https://arxiv.org/abs/2411.16699 has been replaced.
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Bistability and chaos in the discrete two-gene Andrecut-Kauffman model
We conduct numerical analysis of the 2-dimensional discrete-time gene expression model originally introduced by Andrecut and Kauffman (Phys. Lett. A 367: 281-287, 2007). In contrast to the previous studies, we analyze the dynamics with different reaction rates $α_1$ and $α_2$ for each of the two genes under consideration. We explore bifurcation diagrams for the model with $α_1$ varying in a wide range and $α_2$ fixed. We detect chaotic dynamics by means of the positive maximum Lyapunov expo…

The Age and High Energy Environment of the Very Young Transiting Exoplanet TOI 1227b
Attila Varga, Joel H. Kastner, Alexander S. Binks, Hans Moritz Guenther, Simon J. Murphy
https://arxiv.org/abs/2506.04440

The Age and High Energy Environment of the Very Young Transiting Exoplanet TOI 1227b
The mid-M star TOI~1227 hosts among the youngest known transiting exoplanets. We have conducted new X-ray imaging and optical spectroscopic observations of TOI 1227 aimed at ascertaining its age and the influence of its high-energy radiation on the exoplanet, TOI 1227b. We obtained a definitive X-ray detection of TOI 1227 with Chandra/HRC-I, and measured its Li and H$α$ lines using ANU SSO 2.3 m telescope (WiFeS) spectroscopy. Through spatiokinematic, isochronal, and SED-based modeling, we hav…

On the Dynamics of Invariant Graphs for Dissipative Twist Maps
Qi Li, Lin Wang
https://arxiv.org/abs/2506.04938 https://arxiv.org/pdf…

On the Dynamics of Invariant Graphs for Dissipative Twist Maps
For two-parameter families of dissipative twist maps, we study the dynamics of invariant graphs and the thresholds of their existence and breakdown. We obtain: (1) For arbitrary $C^1$-small perturbations, invariant graphs with prescribed rotation numbers can be realized through parameter adjustments; (2) The existence of almost sharp perturbations that trigger complete destruction of all invariant graphs; (3) When the perturbation lacks $C^1$-regularity, Lipschitz invariant graphs with non-diff…

This https://arxiv.org/abs/2505.12240 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations
In this paper, we investigate the time evolution of multiple interacted helical vortices without swirl for the incompressible Euler equations in $\mathbb R^3$. Assuming that the initial helical symmetric vorticity is concentrated within an $\ep$ neighborhood of $N$ distinct helices with vanishing mutual distance of order $O(\frac{1}{|\ln \ep|})$, and each vortex core possesses a vorticity mass of order $O(\frac{1}{|\ln \ep|^2})$, we show that as $\ep\to 0$, the motion of the…

This https://arxiv.org/abs/2505.16016 has been replaced.
initial toot: https://mastoxiv.page/@a…

Electronic mobility, doping, and defects in epitaxial $\mathrm{BaZrS_3}$ chalcogenide perovskite thin films
We present the electronic transport properties of $\mathrm{BaZrS_3}$ (BZS) thin films grown epitaxially by gas-source molecular beam epitaxy (MBE). We observe n-type behavior in all samples, with carrier concentration ranging from $4 \times 10^{18}$ to $4 \times 10^{20} \mathrm{cm^{-3}}$ at room temperature (RT). We observe a champion RT Hall mobility of 11.1 $\mathrm{cm^2V^{-1}s^{-1}}$, which is competitive with established thin-film photovoltaic (PV) absorbers. Temperature-dependent Hall mobi…

This https://arxiv.org/abs/2505.21611 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Disturbing news about the $d=2+ε$ expansion
The $O(N)$ Non-Linear Sigma Model (NLSM) in $d=2+ε$ has long been conjectured to describe the same conformal field theory (CFT) as the Wilson-Fisher (WF) $O(N)$ fixed point obtained from the $λ(ϕ^2)^2$ model in $d=4-ε$. In this work, we put this conjecture into question, building on the recent observation [Jones (2024)] that the NLSM CFT possesses a protected operator with dimension $N-1$, which is instead absent in the WF $O(N)$ CFT. For $N=3$, we investigate the possibility of lifting thi…

This https://arxiv.org/abs/2412.18457 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Patterns of Geodesics, Shearing, and Anosov Representations of the Modular Group
Let $X=SL_3(\R)/SO(3)$. Let $\cal DFR$ be the space of discrete faithful representations of the modular group into ${\rm Isom\/}(X)$ which map the order $2$ generator to an isometry with a unique fixed point. I prove many things about the component $\cal B$ of $\cal DFR$ known as the Barbot component: It is homeomorphic to $\R^2 \times [0,\infty)$. The boundary parametrizes the Pappus representations from [{\bf S0\/}]. The interior parametrizes the complete extension of the family of Anosov rep…

PDRs4All XIV: CH radical and $H_3^ $ molecular ion in the irradiated protoplanetary disk d203-506
I. Schroetter, O. Bern\'e, J. R. Goicoechea, J. H. Black, O. Roncero, F. Alarcon, P. Amiot, O. Asvany, C. Boersma, S. Br\"unken, J. Cami, L. Coudert, E. Dartois, A. Fuente, B. Gans, A. Gusdorf, U. Jacovella, M. A. Martin Drumel, T. Onaka, E. Peeters, E. Roueff, A. G. G. M. Tielens, M. Zannese

PDRs4All XIV: CH radical and $H_3^+$ molecular ion in the irradiated protoplanetary disk d203-506
Most protoplanetary disks experience a phase in which they are subjected to strong ultraviolet radiation from nearby massive stars. This UV radiation can substantially alter their chemistry by producing numerous radicals and molecular ions. In this Letter we present detailed analysis of the JWST-NIRSpec spectrum of the d203-506 obtained as part of the PDRs4All Early Release Science program. Using state-of-the-art spectroscopic data, we searched for species using a multi-molecule fitting tool, P…

This https://arxiv.org/abs/2303.14503 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On winding numbers of $K_5$ minus an edge in the plane
Let $K$ be the graph on vertices $\{1, 2, 3, 4, 5\}$, and having all edges except $(4, 5)$. A continuous map $f:K\to \R^2$ is called an \emph{almost embedding} if $f$-images of non-adjacent edges are disjoint. Take the winding numbers of the $f$-image of the oriented cycle $(1, 2, 3)$ around $f(4)$ and around $f(5)$. We prove that the difference of these numbers equals $\pm 1$. This is surprising, because in other similar situations analogous statement is wrong.

This https://arxiv.org/abs/2306.11707 has been replaced.
link: https://scholar.google.com/scholar?q=a

Hexagonal circular 3-webs with reducible polar curves of degree three
The paper reports the progress with the classical problem, posed by Blaschke and Bol in 1938. We present new examples and new classifications of natural classes of hexagonal circular 3-webs. The main results is the classification of hexagonal circular 3-webs with reducible polar curves of degree 3 and description of hexagonal circular 3-webs admitting a one-parameter Möbius symmetry.

This https://arxiv.org/abs/2309.12760 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case
We consider generalisations of the elliptic Calogero--Moser systems associated to complex crystallographic groups in accordance to [1]. In our previous work [2], we proposed these systems as candidates for Seiberg--Witten integrable systems of certain SCFTs. Here we examine that proposal for complex crystallographic groups of rank one. Geometrically, this means considering elliptic curves $T^2$ with $\mathbb{Z}_m$-symmetries, $m=2,3,4,6$, and Poisson deformations of the orbifolds $(T^2\times\ma…

Primes of the form $ax by$
Yong-Gao Chen, Hui Zhu
https://arxiv.org/abs/2506.03620 https://arxiv.org/pdf/2506.03620

Primes of the form $ax+by$
For two coprime positive integers $a,b$, let $T(a,b)=\{ ax+by : x,y\in \mathbb{Z}_{\ge 0} \} $ and let $s(a,b)=ab-a-b$. It is well known that all integers which are greater than $s(a,b)$ are in $T(a,b)$. Let $π(a, b)$ be the number of primes in $T(a,b)$ which are less than or equal to $s(a,b)$. It is easy to see that $π(2, 3)=0$ and $π(2, b)=1$ for all odd integers $b\ge 5$. In this paper, we prove that if $b>a\ge 3$ with $\gcd (a, b)=1$, then $π(a, b)>0.005 s(a,b)/\log s(a,b)$. We conjectu…

[2025-06-04 Wed (UTC), 3 new articles found for math.CT Category Theory]
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This https://arxiv.org/abs/2505.01141 has been replaced.
initial toot: https://mastoxiv.page/@a…

Tailoring Heat Transfer at Silica-Water Interfaces via Hydroxyl and Methyl Surface Groups
Efficient thermal transport across solid-liquid interfaces is essential for optimizing heat dissipation in modern technological applications. This study employs molecular dynamics (MD) simulations to investigate the impact of surface functionalization on heat transfer at the silica/water interface. It has been shown that the surface functionalization changes significantly the wetting characteristics of silica surface: from one hand hydroxyl groups render such surfaces more hydrophilic, while me…

This https://arxiv.org/abs/2409.10612 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Duality-preserving deformation of 3+1d lattice $\mathbb Z_2$ gauge theory with exact gapped ground states
We propose and analyze a deformation of the 3+1d lattice $\mathbb Z_2$ gauge theory that preserves the non-invertible Wegner duality symmetry at the self-dual point. We identify a frustration-free point along this deformation where there are nine exactly degenerate ground states (on a periodic cubic lattice) even at finite volume. One of these ground states is a trivial product state and the rest are the topologically-ordered ground states of the 3+1d toric code. We also prove that the frustrat…

This https://arxiv.org/abs/2406.02957 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A note on the involutive invariants of splices
A natural family of potentially 2-torsion elements in the integer homology cobordism group consists of splices of knots with their mirrors. We show that such 3-manifolds have locally trivial involutive Floer homology. We show some related families of splices also have locally trivial involutive Floer homology. Our arguments show that many gauge theoretic invariants also vanish on these 3-manifolds.

This https://arxiv.org/abs/2303.07289 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The polarized degree of irrationality of $K3$ surfaces
Given a polarized variety $(X,L)$, we construct and study projections of low degree $ X\dashrightarrow \mathbb{P}(H^0(L^\vee)) \dashrightarrow \mathbb P ^n $ using the associated kernel bundles. As an application, we can show that the degree of irrationality of a very general $(1,6)$ abelian surface, as well as that of a very general $K3$ surface of genus $6$ is $3$. We also give new upper bounds for $K3$ surfaces of any genus. Moreover, in the case of surfaces, this observation can be used to …

This https://arxiv.org/abs/2502.09639 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A correspondence between genus one minimal Lawson surfaces of $\mathbb{S}^3(2)$ and area-minimizing unit vector fields on the antipodally punctured unit 2-sphere
A correspondence is established between a class of minimal immersed surfaces of $\mathbb{S}^3(2)$ and area-minimizing unit vector fields defined on the antipodally punctured unit sphere $\mathbb{S}^2\backslash\{N,S\}$. As a consequence, we establish a stability relation for Lawson cylinders in $\mathbb{S}^3(2)$.

The structural and kinematical properties of NGC 5634, a globular cluster associated with the Sagittarius dwarf galaxy?
Shouzhi Wang, Jundan Nie, Biwei Jiang, Hao Tian, Chao Liu, Ying-Hua Zhang
https://arxiv.org/abs/2506.04806

The structural and kinematical properties of NGC 5634, a globular cluster associated with the Sagittarius dwarf galaxy?
We investigate the origin of NGC 5634 through a comprehensive analysis of its morphology, kinematics and dynamics. Utilizing data from the DESI Legacy Survey, we refined its fundamental parameters (age t = 12.8 +/- 0.3 Gyr, metallicity [Fe/H] = -1.8 +/- 0.1 dex, distance modulus dm = 17.0 +/- 0.1 mag) and constructed matched-filter template based on the combination of these parameters to search for extra-tidal structures. However, no significant features were detected above a 3 sigma signal-to-…

Proximity-Induced Rashba Spin-Orbit Interaction in BaMnO$_\text{3}|$KTaO$_\text{3}$ Heterostructure for Antiferromagnetic Spintronics
Vivek Kumar, Nirmal Ganguli
https://arxiv.org/abs/2506.01861

Proximity-Induced Rashba Spin-Orbit Interaction in BaMnO$_\text{3}|$KTaO$_\text{3}$ Heterostructure for Antiferromagnetic Spintronics
We investigate the emergence of Rashba-like spin-orbit interaction in the antiferromagnetic BaMnO$_3|$KTaO$_3$ oxide heterostructure using density functional theory (DFT). The analysis of our charge transfer model based on electrostatic potential reveals a type-I band alignment and establishes the conditions under which the interface becomes conducting. Our calculations uncover pronounced linear Rashba splitting ($α_{(1)}$ = 0.114~eVÅ) in Mn 3$d$ bands near the Fermi level, induced by pr…

This https://arxiv.org/abs/2210.14765 has been replaced.
link: https://scholar.google.com/scholar?q=a

Holed cone structures on 3-manifolds
We introduce holed cone structures on 3-manifolds to generalize cone structures. In the same way as a cone structure, a holed cone structure induces the holonomy representation. We consider the deformation space consisting of the holed cone structures on a 3-manifold whose holonomy representations are irreducible. This deformation space for positive cone angles is a covering space on a reasonable subspace of the character variety.

This https://arxiv.org/abs/2409.11931 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3
We prove that the moduli space of all noncongruent linearly full totally real flat minimal immersions from the complex plane C into HP^3 that do not lie in CP^3 has three components, each of which is a manifold of real dimension 6. As an application, we give a description of the moduli space of all noncongruent linearly full totally real flat minimal tori in HP^3 that do not lie in CP^3.

This https://arxiv.org/abs/2401.04391 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Kawamata-Miyaoka type inequality for canonical $\mathbb Q$-Fano varieties II: Terminal $\mathbb Q$-Fano threefolds
We prove an optimal Kawamata-Miyaoka type inequality for terminal $\mathbb Q$-Fano threefolds with Fano index at least $3$. As an application, we obtain that any terminal $\mathbb Q$-Fano threefold $X$ satisfies the following Kawamata-Miyaoka type inequality \[ c_1(X)^3 < 3c_2(X)c_1(X). \]

This https://arxiv.org/abs/2503.04559 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Presymplectic BV-AKSZ for $N=1$, $D=4$ Supergravity
We elaborate on the presymplectic BV-AKSZ approach to supersymmetric systems. In particular, we construct such a formulation for the $N=1$, $D=4$ supergravity by taking as a target space the Chevalley-Eilenberg complex of the super-Poincaré algebra which, as we demonstrate, admits an invariant presymplectic structure of degree $3$. This data encodes a full-scale Batalin-Vilkovisky formulation of the system, including a concise form of the BV master action. The important feature of (presymplect…

This https://arxiv.org/abs/2412.19480 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Inequalities between Dirichlet and Neumann Eigenvalues on Surfaces
For a bounded Lipschitz domain $Σ$ in a Riemannian surface $M$ satisfying certain curvature condition, we prove that $$μ_{3-β_1} \leq λ_{1},$$ where $μ_k$ ($λ_k$ resp.) is the $k$-th Neumann (Dirichlet resp.) Laplacian eigenvalue on $Σ$ and $β_1$ is the first Betti number of $Σ.$ If $Σ$ is smooth and simply connected, we can further derive the strict inequality $ μ_{3}< λ_{1}. $ This extends previous results on the Euclidean space to various curved surfaces, including the flat cylin…

Classifying weak Fano toric varieties of Picard rank $3$
Zhengning Hu, Rohan Joshi
https://arxiv.org/abs/2506.00715 https://arxiv.org…

Classifying weak Fano toric varieties of Picard rank $3$
We provide a systematic method to classify all smooth weak Fano toric varieties of Picard rank $3$ in any dimension using Macaulay2, and describe the classification explicitly in dimensions $3$ and $4$. There are $28$ and $114$ isomorphism classes of rank $3$ weak Fano toric threefolds and fourfolds, respectively.

This https://arxiv.org/abs/2412.16527 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Scalar-Tensor multiplet in four dimensional N=2 conformal supergravity
We study various N=2 multiplets in four dimensions by looking at the supersymmetric truncation of four dimensional N=3 multiplets. Under supersymmetric truncation, the off-shell N=3 Weyl multiplet reduces to the off-shell N=2 Weyl multiplet and the off-shell N=2 vector multiplet (which we will refer to as the central charge multiplet). Under the same truncation, the on-shell N=3 vector multiplet reduces to the on-shell N=2 vector multiplet and an on-shell massive hypermultiplet with a broken ri…

[2025-06-05 Thu (UTC), 3 new articles found for math.GT Geometric Topology]
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This https://arxiv.org/abs/2409.19626 has been replaced.
link: https://scholar.google.com/scholar?q=a

Three-dimensional Riemannian manifolds associated with locally conformal Riemannian product manifolds
A 3-dimensional Riemannian manifold equipped with a tensor structure of type $(1,1)$, whose fourth power is the identity, is considered. This structure acts as an isometry with respect to the metric. A Riemannian almost product manifold associated with such a manifold is also studied. It turns out, that the almost product manifold belongs to the class of locally conformal Riemannian product manifolds of the Naveira classification. Conditions for the additional structures of the manifolds to be …

This https://arxiv.org/abs/2408.00067 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Monopole Breaking of Chern-Weil Symmetries
Gauge theories in $d$ dimensions with a nontrivial fundamental group admit a $(d-3)$-form magnetic symmetry and a $(d-5)$-form instantonic symmetry. These are examples of Chern-Weil symmetries, with conserved currents built out of the gauge field strength, which can only be explicitly broken through violations of the Bianchi identity. For U(1) gauge theory, it is clear that magnetic monopoles violate not only the $(d-3)$-form magnetic symmetry but also lower-form symmetries like the instantonic…

This https://arxiv.org/abs/2505.08280 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Extremising eigenvalues of the GJMS operators in a fixed conformal class
Let $(M,g)$ be a closed Riemannian manifold of dimension $n\geq 3$. If $s$ is a positive integer satisfying $2s

This https://arxiv.org/abs/2501.01444 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Local isometric immersions of pseudospherical surfaces described by a class of third order differential equations
We discuss a specific type of pseudospherical surfaces defined by a class of third order differential equations, of the form $u_t - u_{xxt} = λu^2 u_{xxx} + G(u, u_x, u_{xx})$, and poses a question about the dependence of the triples $\{a,b,c\}$ of the second fundamental form in the context of local isometric immersion in $\mathbb{E}^3$. It is demonstrated that the triples $\{a,b,c\}$ of the second fundamental form are not influenced by a jet of finite order of $u$. Instead, they are shown to …