Tootfinder

Quasiparticle band picture bridging topology and strong correlations across energy scales
Ivan Pasqua, Antonio Maria Tagliente, Gabriele Bellomia, Bartomeu Monserrat, Michele Fabrizio, Carlos-Mejuto Zaera
https://arxiv.org/abs/2507.10670

Quasiparticle band picture bridging topology and strong correlations across energy scales
Understanding the interplay between electronic correlations and band topology remains a central challenge in condensed matter physics, primarily hindered by a language mismatch problem. While band topology is naturally formulated within a single-particle band theory, strong correlations typically elude such an effective one-body description. In this work, we bridge this gap leveraging the ghost Gutzwiller (gGut) variational embedding framework, which introduces auxiliary quasiparticle degrees o…

Fourth- and Higher-order Interface Tracking of Three or More Materials with Arbitrarily Complex Topology and Geometry
Yan Tan, Yixiao Qian, Zhiqi Li, Qinghai Zhang
https://arxiv.org/abs/2506.11897

Fourth- and Higher-order Interface Tracking of Three or More Materials with Arbitrarily Complex Topology and Geometry
For interface tracking of an arbitrary number of materials in two dimensions, we propose a multiphase cubic MARS method that (a) accurately and efficiently represents the topology and geometry of the interface via graphs, cycles, and cubic splines, (b) maintains a $(r,h)$-regularity condition of the interface so that the distance between any pair of adjacent markers is within a user-specified range that may vary according to the local curvature, (c) applies to multiple materials with arbitraril…

Minimum-hop Constellation Design for Low Earth Orbit Satellite Networks
Chirag Rao, Eytan Modiano
https://arxiv.org/abs/2506.11995 https://

Minimum-hop Constellation Design for Low Earth Orbit Satellite Networks
We consider a Low Earth Orbit (LEO) satellite network with each satellite capable of establishing inter-satellite link (ISL) connections for satellite-to-satellite communication. Since ISLs can be reoriented to change the topology, we optimize the topology to minimize the average shortest path length (ASPL). We characterize the optimal ASPL ISL topology in two families of topologies, 1) vertex-symmetric in which the ISL connections at a satellite node represent a motif that is repeated at all o…

Surfaces with Klein bottle topology occur in fusion reactor fields
Christopher Berg Smiet
https://arxiv.org/abs/2506.11883 https://ar…

Surfaces with Klein bottle topology occur in fusion reactor fields
Magnetic confinement fusion devices, such as tokamaks and stellarators, are designed such that magnetic field lines lie in magnetic surfaces that form a foliation of nested genus-1 tori. The Poincaré-Hopf index theorem implies that only surfaces with genus 1 allow for vector fields that lie tangent to the surface and are are smooth and nowhere-vanishing. It is often implicitly assumed that magnetic surfaces are always toroidal. This paper we show that surfaces with the topology of an immersed …

Topology-Aware Virtualization over Inter-Core Connected Neural Processing Units
Dahu Feng, Erhu Feng, Dong Du, Pinjie Xu, Yubin Xia, Haibo Chen, Rong Zhao
https://arxiv.org/abs/2506.11446

Topology-Aware Virtualization over Inter-Core Connected Neural Processing Units
With the rapid development of artificial intelligence (AI) applications, an emerging class of AI accelerators, termed Inter-core Connected Neural Processing Units (NPU), has been adopted in both cloud and edge computing environments, like Graphcore IPU, Tenstorrent, etc. Despite their innovative design, these NPUs often demand substantial hardware resources, leading to suboptimal resource utilization due to the imbalance of hardware requirements across various tasks. To address this issue, prio…

Causal structure and topology change in (2 1)-dimensional simplicial gravity
Seth K. Asante, Bj\"orn Borgolte
https://arxiv.org/abs/2507.10697 https:/…

Causal structure and topology change in (2+1)-dimensional simplicial gravity
We develop a systematic method for analyzing the causal structure at vertices in (2+1)-dimensional Lorentzian simplicial gravity. By examining the intersection patterns of lightcones emanating from a vertex with its simplicial neighbourhood, we identify 13 distinct causal types of Lorentzian tetrahedra-excluding configurations with null faces. This forms the basis for a topological classification of the local causal structure in terms of the number of connected spacelike and timelike regions on…

A note on intrinsic topologies of groups
S. Bardyla, L. Elliott, J. D. Mitchell, Y. P\'eresse
https://arxiv.org/abs/2506.11500 https://

A note on intrinsic topologies of groups
We investigate topologies on groups which arise naturally from their algebraic structure, including the Frechét-Markov, Hausdorff-Markov, and various kinds of Zariski topologies. Answering a question by Dikranjan and Toller, we show that there exists a countable abelian group in which no bounded version of the Zariski topology coincides with the full Zariski topology. Complementing a recent result by Goffe and Greenfeld, we show that on any group with no algebraicity the semigroup Zariski topo…

Reflexive dg categories in algebra and topology
Matt Booth, Isambard Goodbody, Sebastian Opper
https://arxiv.org/abs/2506.11213 https://

Reflexive dg categories in algebra and topology
Reflexive dg categories were introduced by Kuznetsov and Shinder to abstract the duality between bounded and perfect derived categories. In particular this duality relates their Hochschild cohomologies, autoequivalence groups, and semiorthogonal decompositions. We establish reflexivity in a variety of settings including affine schemes, simple-minded collections, chain and cochain dg algebras of topological spaces, Ginzburg dg algebras, and Fukaya categories of cotangent bundles and surfaces as …

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Computational Approaches to the Singer Transfer: Preimages in the Lambda Algebra and $G_k$-Invari...
Dang Vo Phuc

Replaced article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
Searching for ribbons with machine learning
https://

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

The effects of knot topology on the collapse of active polymers
Davide Breoni, Emanuele Locatelli, Luca Tubiana
https://arxiv.org/abs/2507.08391 https://…

The effects of knot topology on the collapse of active polymers
We use numerical simulations to study tangentially active flexible ring polymers with different knot topologies. Simple, unknotted active rings display a collapse transition upon increasing the degree of polymerization. We find that topology has a significant effect on the polymer size at which the collapse takes place, with twist knots collapsing earlier than torus knots. Increasing knot complexity further accentuates this difference, as the collapse point of torus knots grows linearly and tha…

Replaced article(s) found for math.GN. https://arxiv.org/list/math.GN/new
[1/1]:
A Minimal Non Hausdorff Counterexample in Covering Space Theory
ht…

Vector Representations of Vessel Trees
James Batten, Michiel Schaap, Matthew Sinclair, Ying Bai, Ben Glocker
https://arxiv.org/abs/2506.11163 https://

Vector Representations of Vessel Trees
We introduce a novel framework for learning vector representations of tree-structured geometric data focusing on 3D vascular networks. Our approach employs two sequentially trained Transformer-based autoencoders. In the first stage, the Vessel Autoencoder captures continuous geometric details of individual vessel segments by learning embeddings from sampled points along each curve. In the second stage, the Vessel Tree Autoencoder encodes the topology of the vascular network as a single vector r…

Using Language and Road Manuals to Inform Map Reconstruction for Autonomous Driving
Akshar Tumu, Henrik I. Christensen, Marcell Vazquez-Chanlatte, Chikao Tsuchiya, Dhaval Bhanderi
https://arxiv.org/abs/2506.10317

Using Language and Road Manuals to Inform Map Reconstruction for Autonomous Driving
Lane-topology prediction is a critical component of safe and reliable autonomous navigation. An accurate understanding of the road environment aids this task. We observe that this information often follows conventions encoded in natural language, through design codes that reflect the road structure and road names that capture the road functionality. We augment this information in a lightweight manner to SMERF, a map-prior-based online lane-topology prediction model, by combining structured road…

Geometric Criticality in Scale-Invariant Networks
Lorenzo Lucarini, Giulio Cimini, Pablo Villegas
https://arxiv.org/abs/2507.11348 https://

Geometric Criticality in Scale-Invariant Networks
Dimension in physical systems determines universal properties at criticality. Yet, the impact of structural perturbations on dimensionality remains largely unexplored. Here, we characterize the attraction basins of structural fixed points in scale-invariant networks from a renormalization group perspective, demonstrating that basin stability connects to a structural phase transition. This topology-dependent effect, which we term geometric criticality, triggers a geometric breakdown hereto unkno…

Gluing topological graph C*-algebras
Atul Gothe, John Quigg, Mariusz Tobolski
https://arxiv.org/abs/2506.11592 https://arxiv.org/pdf/…

Gluing topological graph C*-algebras
We introduce regular closed subgraphs of Katsura's topological graphs and use them to generalize the notion of an adjunction space from topology. Our construction attaches a topological graph onto another via a regular factor map. In our main theorem, we prove that under suitable assumptions the C*-algebra of the adjunction graph is a pullback of the C*-algebras of the topological graphs being glued. It generalizes (and slightly improves) the pushout-to-pullback theorem proved in the context of…

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
Poincar{\'e} Duality, Degeneracy, and Real Lefschetz Property for T-Hypersurfaces

Space-filling efficiency and optical properties of hemoglycin
Julie E M McGeoch, Malcolm W McGeoch
https://arxiv.org/abs/2507.10612 https://

Space-filling efficiency and optical properties of hemoglycin
The empty, extensive low-density lattice topology of hemoglycin is examined to understand how in space, and possibly as early as 800M years into cosmic time a rod-like polymer of glycine and iron came into dominance. A central question to be answered is whether the hemoglycin rod lattice with diamond 2H symmetry represents the most efficient covering of space by a regular arrangement of identical rods. Starting from the tetrahedral symmetry of every hemoglycin lattice vertex we find that the re…

CycleGAN-Driven Transfer Learning for Electronics Response Emulation in High-Purity Germanium Detectors
Kevin Bhimani, Julieta Gruszko, Morgan Clark, John Wilkerson, Aobo Li
https://arxiv.org/abs/2507.09106

CycleGAN-Driven Transfer Learning for Electronics Response Emulation in High-Purity Germanium Detectors
High-Purity Germanium (HPGe) detectors are a key technology for rare-event searches such as neutrinoless double-beta decay ($0νββ$) and dark matter experiments. Pulse shapes from these detectors vary with interaction topology and thus encode information critical for event classification. Pulse shape simulations (PSS) are essential for modeling analysis cuts that distinguish signal events from backgrounds and for generating reliable simulations of energy spectra. Traditional PSS methods rely …

Replaced article(s) found for cond-mat.mes-hall. https://arxiv.org/list/cond-mat.mes-hall/new
[1/1]:
Probing the Topology of Fermionic Gaussian Mixed States with {U(1)} symmetry by Full Counting Sta...

Replaced article(s) found for cond-mat.supr-con. https://arxiv.org/list/cond-mat.supr-con/new
[1/1]:
Edge currents as probe of topology in twisted cuprate bilayers

Observation of Momentum-Band Topology in PT-Symmetric acoustic Floquet Lattices
Shuaishuai Tong, Qicheng Zhang, Gaohan Li, Kun Zhang, Chun Xie, Chunyin Qiu
https://arxiv.org/abs/2507.04068

Observation of Momentum-Band Topology in PT-Symmetric acoustic Floquet Lattices
Momentum-band topology, which transcends conventional topological band theory, unlocks new topological phases that host fascinating temporal interface states. However, direct bulk experimental evidence of such emerging band topology is still lacking due to the great challenges in resolving eigenstates and topological invariants of time-varying systems. Here, we present a comprehensive study on the momentum-band topology in a PT-symmetric Floquet lattice, where the drive-induced momentum gap can…

High-Accuracy Dispersion Surfaces Measurement Unlocks Photonic Crystal Slabs Topology
Karen Caicedo, Fabrizio Sgrignuoli, Adam Schwartzberg, Scott Duehy, Silvia Romano, Gianluigi Zito, Ivo Rendina, Vito Mocella
https://arxiv.org/abs/2506.10214

High-Accuracy Dispersion Surfaces Measurement Unlocks Photonic Crystal Slabs Topology
Characterization of dispersion surfaces (DS) in photonic crystals (PhCs) can predict striking topological features, such as bound states in the continuum (BICs). Precise measurement of dispersion, particularly near the Γ-point, is crucial since even subtle geometric deviations significantly impact the distribution of topological charges and associated polarization singularities. Here, we propose a novel technique to measure DS of PhC slabs with high angular accuracy of up to 3 x 10^(-4) radian…

A core-sensitive mixed $f$/$g$ mode of the Sun predicted by wave topology and hydrodynamical simulation
Arthur Le Saux, Armand Leclerc, Guillaume Laibe, Pierre Delplace, Antoine Venaille
https://arxiv.org/abs/2506.09572

A core-sensitive mixed $f$/$g$ mode of the Sun predicted by wave topology and hydrodynamical simulation
Helioseismology has revolutionized our understanding of the Sun by analyzing its global oscillation modes. However, the solar core remains elusive, limiting a full understanding of its evolution. In this work, we study a previously unnoticed global oscillation mode of the Sun using a fully compressible, hydrodynamical simulation of the solar interior, and assess that it is a mixed $f$/$g$ mode with a period of about one hour. This is the first global stellar hydrodynamics simulation that succes…

[2025-06-16 Mon (UTC), 6 new articles found for math.GT Geometric Topology]
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internet_top_pop: Internet topology (PoP level) (1969-2012)
Assorted snapshots of internet graph at the Point of Presence (PoP) level (which lies between the IP and AS levels), collected from around the world and at various times. The earliest snapshots are for ARPANET (1969-1972), with a few more from pre-2000. Most are from 2006 onward. Metadata include link type or speed, longitudes, and latitudes of nodes, URL, and date of record.
This network has 39 nodes and 44 edges.

Instanton Moduli, Topology and the Bosonic/Heterotic String Origins
Liang Ma, H. Lu
https://arxiv.org/abs/2507.05351 https://arxiv.or…

Instanton Moduli, Topology and the Bosonic/Heterotic String Origins
We construct new supersymmetric NS(-1)-branes supported by the $SU(2)\times SU(2)$ 't Hooft instantons in ${\cal N}=1$, $D=4$ supergravity. We show that although the magnetic 3-form string flux is invariant under the variation of instanton moduli, the string-frame metric can change topology, giving rise to either $\mathbb R^4$ or the new $\mathbb R\times S^3$ bolt topologies. We uplift the solutions to both heterotic and bosonic strings, where the instanton moduli become parameters of pure geom…

Don't be Afraid of Cell Complexes! An Introduction from an Applied Perspective
Josef Hoppe, Vincent P. Grande, Michael T. Schaub
https://arxiv.org/abs/2506.09726

Don't be Afraid of Cell Complexes! An Introduction from an Applied Perspective
Cell complexes (CCs) are a higher-order network model deeply rooted in algebraic topology that has gained interest in signal processing and network science recently. However, while the processing of signals supported on CCs can be described in terms of easily-accessible algebraic or combinatorial notions, the commonly presented definition of CCs is grounded in abstract concepts from topology and remains disconnected from the signal processing methods developed for CCs. In this paper, we aim to …

Derangements in permutation groups with two orbits
Melissa Lee, Tomasz Popiel, Gabriel Verret
https://arxiv.org/abs/2506.11396 https://

Derangements in permutation groups with two orbits
A classical theorem of Jordan asserts that if a group $G$ acts transitively on a finite set of size at least $2$, then $G$ contains a derangement (a fixed-point free element). Generalisations of Jordan's theorem have been studied extensively, due in part to their applications in graph theory, number theory and topology. We address a generalisation conjectured recently by Ellis and Harper, which says that if $G$ has exactly two orbits and those orbits have equal length $n \geq 2$, then $G$ conta…

Quantum secret sharing in a triangular superconducting quantum network
Haoxiong Yan, Allen Zang, Joel Grebel, Xuntao Wu, Ming-Han Chou, Gustav Andersson, Christopher R. Conner, Yash J. Joshi, Shiheng Li, Jacob M. Miller, Rhys G. Povey, Hong Qiao, Eric Chitambar, Andrew N. Cleland
https://arxiv.org/abs/2506.10878

Quantum secret sharing in a triangular superconducting quantum network
We present a three-node quantum communication testbed with a triangular topology, each side of the triangle formed by a 1.3-meter-long transmission line. We demonstrate state transfer and entanglement generation between any two nodes, generate genuine multipartite entangled GHZ states, and implement quantum secret sharing (QSS) of classical information. Our experiments show that the QSS protocol can effectively detect eavesdropping, ensuring the secure sharing of secrets. This device forms a te…

[2025-05-16 Fri (UTC), 1 new article found for math.GN General Topology]
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Replaced article(s) found for math.QA. https://arxiv.org/list/math.QA/new
[1/1]:
- The Cyclic and Modular Microcosm Principle in Quantum Topology
Lukas Woike

[2025-07-16 Wed (UTC), 1 new article found for math.AT Algebraic Topology]
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Interacting Electronic Topology of Nonlocal Crystals
Shu Hamanaka, Martina O. Soldini, Tsuneya Yoshida, Titus Neupert
https://arxiv.org/abs/2506.10071 http…

Interacting Electronic Topology of Nonlocal Crystals
Nonlocal crystals are systems with translational symmetry but arbitrary range couplings or interactions between degrees of freedom. We argue that the notion of topology in such systems does not collapse to that in zero dimensions, as one may naively expect in view of the infinite interaction range. At the same time, we show that the range of available topological phases can be enriched in comparison to the case with local interactions. This is demonstrated by constructing an example of a fermio…

This https://arxiv.org/abs/2501.02367 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Hegel and Modern Topology
In this paper we show how some fundamental concepts of modern topology can be understood philosophically in the light of Hegel's Logic as well how modern topological concepts can provide concrete illustrations of many of the concepts and deductions that Hegel used. This paper can be seen as a continuation of our paper \cite{pro} where we argued that the prototypes of many fundamental notions of modern topology were already found in Aristotle's Physics. This paper is divided into two parts. The …

Multiplier algebras and local units
Alfons Van Daele, Joost Vercruysse
https://arxiv.org/abs/2507.08769 https://arxiv.org/pdf/2507.08…

Multiplier algebras and local units
Let $A$ be an algebra over any field. We do not assume that $A$ has an identity. The \emph{multiplier algebra} $M(A)$ is a unital algebra associated to $A$. If we require the product in $A$ to be non-degenerate (as a bilinear form), the multiplier algebra can be characterized as the largest algebra containing $A$ as an essential ideal. We recall the basic definitions and provide some more information about this notion. We endow the multiplier algebra $M(A)$ with the {\it strict topology}. The…

Real Toric Varieties: Interactions between their Geometry and their Topology
Jules Chenal (LPP), Matilde Manzaroli
https://arxiv.org/abs/2506.03745 https:/…

Real Toric Varieties: Interactions between their Geometry and their Topology
In the present article, we investigate the topology of real toric varieties, especially those whose torus is not split over the field of real numbers. We describe some canonical fibrations associated to their real loci. Then, we establish various properties of their cohomology provided that their real loci are compact and smooth. For instance, we compute their Betti numbers, show that their cohomology is totally algebraic, and extend a criterion of orientability. In addition, we provide the top…

Last year I spent some time in the part of Texas where the floods hit on the Guadalupe River last week.
Even to my California-kid eyes, eyes that rarely see a real river, the Guadalupe, as it passed through Comfort, Texas, was more of a creek than a river.
Over the last day I've wondered "what if I had been there when the flood hit?" I am used to having fairly serious topology, so I would have had trouble there in Texas figuring out which way to go to find "hi…

Why Disaster Alerts Keep Failing
Even emergency alerts that reach people can be unclear.

Event Topology Classifiers at the Large Hadron Collider
Suraj Prasad, Sushanta Tripathy, Bhagyarathi Sahoo, Raghunath Sahoo
https://arxiv.org/abs/2506.03782

Event Topology Classifiers at the Large Hadron Collider
Event classifiers are the most fundamental observables to probe the system size and event topology of high-energy collisions. Significant progress has been made to establish suitable event classifiers to probe different physics processes occurring in elementary $e^{+}e^{-}$ to heavy-ion collisions in a range of center of mass energies. One of the major motivations to revisit event classifiers at the Large Hadron Collider (LHC) originates from the recent measurements of high multiplicity proton-…

[2025-06-16 Mon (UTC), 3 new articles found for math.AT Algebraic Topology]
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[2025-06-16 Mon (UTC), 1 new article found for math.GN General Topology]
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Topology-Aware Graph Neural Network-based State Estimation for PMU-Unobservable Power Systems
Shiva Moshtagh, Behrouz Azimian, Mohammad Golgol, Anamitra Pal
https://arxiv.org/abs/2506.03493

Topology-Aware Graph Neural Network-based State Estimation for PMU-Unobservable Power Systems
Traditional optimization-based techniques for time-synchronized state estimation (SE) often suffer from high online computational burden, limited phasor measurement unit (PMU) coverage, and presence of non-Gaussian measurement noise. Although conventional learning-based models have been developed to overcome these challenges, they are negatively impacted by topology changes and real-time data loss. This paper proposes a novel deep geometric learning approach based on graph neural networks (GNNs…

On Divisor Topology of Modules over Domains
\"Unsal Tekir, U\u{g}ur Yi\u{g}it, Mesut Bu\u{g}day, Suat Ko\c{c}
https://arxiv.org/abs/2506.01179 https:/…

On Divisor Topology of Modules over Domains
Let $M\ $be a module over a domain $R$ and $M^{\#}=\{0\neq m\in M:Rm\neq M\}$ be the set of all nonzero nongenerators of $M.\ $Consider following equivalence relation $\sim$ on $M^{\#}$ as follows: for every $m,n\in M^{\#},\ m\sim n$ if and only if $Rm=Rn.\ $Let $EC(M^{\#})$ be the set of all equivalence classes of $M^{\#}$ with respect to $\sim$. In this paper, we construct a topology on $EC(M^{\#})$ which is called divisor topology of $M\ $and denoted by $D(M).$ Actually, $D(M)$ is extension …

The Daugavet property is equivalent to the polynomial Daugavet property
Sheldon Dantas, Miguel Mart\'in, Yo\"el Perreau
https://arxiv.org/abs/2507.06143

The Daugavet property is equivalent to the polynomial Daugavet property
In this note, we prove that the Daugavet property implies the polynomial Daugavet property, solving a longstanding open problem in the field. Our approach is based on showing that a geometric characterization of the Daugavet property due to Shvidkoy, originally formulated in terms of the weak topology, remains valid when the weak topology is replaced by the weak polynomial topology. Using similar techniques, we further establish that every linear Daugavet center is also a polynomial Daugavet ce…

Vortex topology in the lee of a 6:1 prolate spheroid
Marc Plasseraud, Krishnan Mahesh
https://arxiv.org/abs/2507.03187 https://arxiv.…

Vortex topology in the lee of a 6:1 prolate spheroid
A large scale parametric study of the flow over the prolate spheroid is presented to understand the effect of Reynolds number and angle of attack on the separation, the wake formation and the loads. Large-Eddy Simulation is performed for six Reynolds numbers ranging from Re = 0.15M to Re = 4M and for eight angles of attack ranging from 10 degrees to 90 degrees. For all the cases considered, the boundary layer separates symmetrically and forms a recirculation region. Several distinct flow topolo…

Network Structures as an Attack Surface: Topology-Based Privacy Leakage in Federated Learning
Murtaza Rangwala, Richard O. Sinnott, Rajkumar Buyya
https://arxiv.org/abs/2506.19260

Network Structures as an Attack Surface: Topology-Based Privacy Leakage in Federated Learning
Federated learning systems increasingly rely on diverse network topologies to address scalability and organizational constraints. While existing privacy research focuses on gradient-based attacks, the privacy implications of network topology knowledge remain critically understudied. We conduct the first comprehensive analysis of topology-based privacy leakage across realistic adversarial knowledge scenarios, demonstrating that adversaries with varying degrees of structural knowledge can infer s…

I always wondered why my 3900X with 64 MB of cache performs so much worse than a 5700X3D with 96 MB of cache. It's only ⇓ more cache, after all.
Well, `lstopo` had the answer. The cache is split into 4 chunks (CCXs), so a single thread only really has 16 MB of cache available.
I actually managed to gain a few FPS through isolating a group of cores that share an L3 cache by manually setting CPU affinity.
1/3

Topology optimization of actively moving rigid bodies in unsteady flows
Yuta Tanabe, Kentaro Yaji, Kuniharu Ushijima
https://arxiv.org/abs/2506.23895 https…

Topology optimization of actively moving rigid bodies in unsteady flows
This study proposes a novel topology optimization method for unsteady fluid flows induced by actively moving rigid bodies. The key idea of the proposed method is to decouple the design and analysis domains by using separate grids. The design grid undergoes rigid body motion and is then overlapped onto the analysis grid. After the overlap, key quantities such as the Brinkman coefficient are transferred between the grids. This approach provides a direct and efficient means of representing object …

Replaced article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- Arnold Strangeness of surface immersions
Noboru Ito, Hiroki Mizuno

Unveiling the electronic structure of the charge density wave and topological semimetal TaTe4 through high-field magnetotransport measurements
D. Silvera-Vega, J. Rojas-Castillo, E. Herrera-Vasco, E. Ramos-Rodr\'iguez, A. F. Santander-Syro, J. A. Galvis, B. Uribe, R. Gonz\'alez-Hern\'andez, A. C. Garc\'ia-Castro, P. Giraldo-Gallo
http…

Unveiling the electronic structure of the charge density wave and topological semimetal TaTe4 through high-field magnetotransport measurements
Understanding the interplay between topology and correlated electron states is central to the study of quantum materials. TaTe$_4$, a charge density wave (CDW) compound predicted to host topological phases, offers a platform to explore this interplay. Here, we report a comprehensive study of the Fermi surface (FS) of TaTe$_4$ via high-field magnetotransport measurements and density functional theory (DFT) calculations. Using three distinct field-current configurations, we resolve four out of fi…

This https://arxiv.org/abs/2311.14817 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Quantifying edge relevance for epidemic spreading via the semi-metric topology of complex networks
Sparsification aims at extracting a reduced core of associations that best preserves both the dynamics and topology of networks while reducing the computational cost of simulations. We show that the semi-metric topology of complex networks yields a natural and algebraically-principled sparsification that outperforms existing methods on those goals. Weighted graphs whose edges represent distances between nodes are semi-metric when at least one edge breaks the triangle inequality (transitivity). …

[2025-05-15 Thu (UTC), no new articles found for math.GN General Topology]
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IRS on orbits and the case of $SL(2, \mathbb{R} ) \ltimes \mathbb{R} ^2$
Manoj Choudhuri, C. R. E. Raja
https://arxiv.org/abs/2506.09723 https://

IRS on orbits and the case of $SL(2, \mathbb{R} ) \ltimes \mathbb{R} ^2$
Let $G$ be a connected Lie group and $\text{Sub}_G$ be the space of closed subgroups of $G$ equipped with the Chabauty topology. In this article, we investigate the existence of invariant random subgroups of $G$ supported on various orbits of the conjugation action of $G$ on $\text{Sub}_G$. We also find the orbit closure for each of these orbits in the case of the Lie group $G=\SL(2,\mathbb{R})\ltimes \mathbb{R}^2$.

PASC-Net:Plug-and-play Shape Self-learning Convolutions Network with Hierarchical Topology Constraints for Vessel Segmentation
Xiao Zhang, Zhuo Jin, Shaoxuan Wu, Fengyu Wang, Guansheng Peng, Xiang Zhang, Ying Huang, JingKun Chen, Jun Feng
https://arxiv.org/abs/2507.04008

PASC-Net:Plug-and-play Shape Self-learning Convolutions Network with Hierarchical Topology Constraints for Vessel Segmentation
Accurate vessel segmentation is crucial to assist in clinical diagnosis by medical experts. However, the intricate tree-like tubular structure of blood vessels poses significant challenges for existing segmentation algorithms. Small vascular branches are often overlooked due to their low contrast compared to surrounding tissues, leading to incomplete vessel segmentation. Furthermore, the complex vascular topology prevents the model from accurately capturing and reconstructing vascular …

Thermodynamic Topology of Black Holes within Tsallis Statistics
Yahya Ladghami, Brahim Asfour, Amine Bouali, Ahmed Errahmani, Taoufik Ouali
https://arxiv.org/abs/2507.04837

Thermodynamic Topology of Black Holes within Tsallis Statistics
In this paper, we investigate the thermodynamic topology of black holes within the framework of Tsallis statistics. By integrating Tsallis non-extensive statistics with topological thermodynamics, we analyze the local and global stability of various black hole solutions, including Schwarzschild, Reissner-Nordstrom, and higher-dimensional black holes. The introduction of Tsallis entropy, parameterized by the non-extensive parameter delta, results in distinct thermodynamic behaviors depending on …

This https://arxiv.org/abs/2501.02161 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Improved adjoint lattice Boltzmann method for topology optimization of laminar convective heat transfer
Solving flow-related inverse problems such as topology optimization problems is intricate but significant in various engineering fields. The lattice Boltzmann method (LBM) and the related adjoint method are highly suitable to perform sensitivity analysis in flow-related inverse problems thanks to their strong capability to handle complex structures and excellent parallel scalability. However, the current continuous adjoint LBM shows theoretical inconsistency and poor numerical stability for ope…

A time-reversal invariant vortex in topological superconductors and gravitational $\mathbb{Z}_2$ topology
Kazuki Yamamoto, Naoto Kan, Hidenori Fukaya
https://arxiv.org/abs/2507.06586

A time-reversal invariant vortex in topological superconductors and gravitational $\mathbb{Z}_2$ topology
We study a topological superconductor in the presence of a time-reversal invariant vortex. The eigenmodes of the Bogoliubov-de-Genne (BdG) Hamiltonian show a $\mathbb{Z}_2$ topology: the time-reversal invariant vortex with odd winding number supports a pair of helical Majorana zero-modes at the vortex and the edge, while there is no such zero-modes when the winding number is even. We find that this $\mathbb{Z}_2$ structure can be interpreted as an emergent gravitational effect. Identifying the …

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

This https://arxiv.org/abs/1804.05199 has been replaced.
link: https://scholar.google.com/scholar?q=a

A description of the topology of free topological vector spaces
We give a simple description of the topology of free topological vector space $\mathbb{V}(X)$ and the topology of the free locally convex space $L(X)$ over a Tychonoff space $X$. The case when $X$ is a pseudocompact space is also considered.

On-chip photon entanglement-assisted topology loading and transfer
Haoqi Zhao, Yichi Zhang, Isaac Nape, Shuang Wu, Yaoyang Ji, Chenjie Zhang, Yijie Shen, Andrew Forbes, Liang Feng
https://arxiv.org/abs/2507.01834

On-chip photon entanglement-assisted topology loading and transfer
Topological protection offers a robust solution to the challenges of noise and loss in physical systems. By integrating topological physics into optics, loading and encoding quantum states into topological invariants can provide resilience to information systems in the face of environmental disruptions. Here, we demonstrate on-chip loading and entanglement-assisted transfer of photon topology, where the topological structure is coherently encoded in a single-photon spin-textured quantum state, …

This https://arxiv.org/abs/2310.13245 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

MultiDLO: Simultaneous Shape Tracking of Multiple Deformable Linear Objects with Global-Local Topology Preservation
MultiDLO is a real-time algorithm for estimating the shapes of multiple, intertwining deformable linear objects (DLOs) from RGB-D image sequences. Unlike prior methods that track only a single DLO, MultiDLO simultaneously handles several objects. It uses the geodesic distance in the Global-Local Topology Preservation algorithm to define both inter-object identity and intra-object topology, ensuring entangled DLOs remain distinct with accurate local geometry. The MultiDLO algorithm is demonstrat…

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Topological feature selection for time series data
Peter Bubenik, Johnathan Bush

Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities
Jan Wingenbach, Laura Ares, Xuekai Ma, Nai H. Kwong, Jan Sperling, Rolf Binder, Stefan Schumacher
https://arxiv.org/abs/2507.07099

Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities
Non-Hermitian systems hosting exceptional points (EPs) exhibit enhanced sensitivity and unconventional mode dynamics. Going beyond isolated EPs, here we report on the existence of exceptional rings (ERs) in planar optical resonators with specific form of circular dichroism and TE-TM splitting. Such exceptional rings possess intriguing topologies as discussed earlier for condensed matter systems, but they remain virtually unexplored in presence of nonlinearity, for which our photonic platform is…

This https://arxiv.org/abs/2506.01764 has been replaced.
initial toot: https://mastoxiv.page/@a…

Unconventional Superconducting Pairing Symmetries in La$_3$Ni$_2$O$_7$: from the Perspective of Topology
The recently discovered superconductor La$_3$Ni$_2$O$_7$ has attracted significant attention due to its remarkably high $T_{c}$ and unconventional pairing mechanism. High-pressure experiments have demonstrated that the emergence of the superconducting phase is associated with a transition to a higher-symmetry structure. Motivated by this observation, we investigate superconductivity in La$_3$Ni$_2$O$_7$ under high pressure from the perspectives of symmetry and topology. Based on a bilayer two-o…

[2025-07-14 Mon (UTC), 1 new article found for math.GT Geometric Topology]
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Second-Order-Cone Formulations of Power Flow for Topology Optimization
Noah Rhodes, James Luedkte, Line Roald
https://arxiv.org/abs/2506.02234 https://

Second-Order-Cone Formulations of Power Flow for Topology Optimization
Optimization problems that involve topology optimization in scenarios with large scale outages, such as post-disaster restoration or public safety power shutoff planning, are very challenging to solve. Using simple power flow representations such as DC power flow or network flow models results in low quality solutions which requires significantly higher-than-predicted load shed to become AC feasible. Recent work has shown that formulations based on the Second Order Cone (SOC) power flow formula…

Quantum topology without topology
Daniel Tubbenhauer
https://arxiv.org/abs/2506.18918 https://arxiv.org/pdf/2506.18918

Quantum topology without topology
These lecture notes cover 13 sessions and are presented as an e-print, intended to evolve over time. Quantum invariants do more than distinguish topological objects; they build bridges between topology, algebra, number theory and quantum physics helping to transfer ideas, and stimulating mutual development. They also possess deep and intriguing connections to representation theory, particularly through representations of quantum groups. These lecture notes aim to illustrate how categorical…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Multi-Level Damage-Aware Graph Learning for Resilient UAV Swarm Networks
Huan Lin, Chenguang Zhu, Lianghui Ding, Feng Yang
https://arxiv.org/abs/2506.09703

Multi-Level Damage-Aware Graph Learning for Resilient UAV Swarm Networks
Unmanned aerial vehicle (UAV) swarm networks leverage resilient algorithms to address communication network split issues and restore connectivity. However, existing graph learning-based resilient algorithms face over-aggregation and non-convergence problems caused by uneven and sparse topology under massive damage scenarios. To alleviate these problems, we propose a novel Multi-Level Damage-Aware Graph Learning (ML-DAGL) algorithm, which generates recovery trajectories by mining information fro…

[2025-07-14 Mon (UTC), 2 new articles found for math.AT Algebraic Topology]
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Experimental evidence of the topological obstruction in twisted bilayer graphene
F. Mesple, P. Mallet, C. Dutreix, G. Lapertot, J-Y. Veuillen, V. T. Renard
https://arxiv.org/abs/2506.08913

Experimental evidence of the topological obstruction in twisted bilayer graphene
The rich physics of magic angle twisted bilayer graphene (TBG) results from the Coulomb interactions of electrons in flat bands of non-trivial topology. While the bands' dispersion is well characterized, accessing their topology remains an experimental challenge. Recent measurements established the local density of states (LDOS) as a topological observable. Here, we use scanning tunnelling microscopy to investigate the LDOS of TBG near a defect. We observe characteristic patterns resulting from…

Phase-Space Topology in a Single-Atom Synthetic Dimension
Kyungmin Lee, Sunkyu Yu, Seungwoo Yu, Jiyong Kang, Wonhyeong Choi, Sumin Park, Taehyun Kim
https://arxiv.org/abs/2506.24020

Phase-Space Topology in a Single-Atom Synthetic Dimension
We investigate topological features in the synthetic Fock-state lattice of a single-atom system described by the quantum Rabi model. By diagonalizing the Hamiltonian, we identify a zero-energy defect state localized at a domain wall of the synthetic lattice, whose spin polarization is topologically protected. To address the challenge of applying band topology to the Fock-state lattice, we introduce a topological invariant based on phase-space geometry-the phase-space winding number. We show tha…

Replaced article(s) found for math.GN. https://arxiv.org/list/math.GN/new
[1/1]:
- The complexity of classifying continuous t-norms up to isomorphism
Jialiang He, Lili Shen, Yi Zhou

Exploring Topological and Localization Phenomena in SSH Chains under Generalized AAH Modulation: A Computational Approach
Souvik Ghosh, Sayak Roy
https://arxiv.org/abs/2506.10195 …

Exploring Topological and Localization Phenomena in SSH Chains under Generalized AAH Modulation: A Computational Approach
The Su-Schrieffer-Heeger (SSH) model serves as a canonical example of a one-dimensional topological insulator, yet its behavior under more complex, realistic conditions remains a fertile ground for research. This paper presents a comprehensive computational investigation into generalized SSH models, exploring the interplay between topology, quasi-periodic disorder, non-Hermiticity, and time-dependent driving. Using exact diagonalization and specialized numerical solvers, we map the system's pha…

MTCNet: Motion and Topology Consistency Guided Learning for Mitral Valve Segmentationin 4D Ultrasound
Rusi Chen, Yuanting Yang, Jiezhi Yao, Hongning Song, Ji Zhang, Yongsong Zhou, Yuhao Huang, Ronghao Yang, Dan Jia, Yuhan Zhang, Xing Tao, Haoran Dou, Qing Zhou, Xin Yang, Dong Ni
https://arxiv.org/abs/2507.00660

MTCNet: Motion and Topology Consistency Guided Learning for Mitral Valve Segmentationin 4D Ultrasound
Mitral regurgitation is one of the most prevalent cardiac disorders. Four-dimensional (4D) ultrasound has emerged as the primary imaging modality for assessing dynamic valvular morphology. However, 4D mitral valve (MV) analysis remains challenging due to limited phase annotations, severe motion artifacts, and poor imaging quality. Yet, the absence of inter-phase dependency in existing methods hinders 4D MV analysis. To bridge this gap, we propose a Motion-Topology guided consistency network (MT…

Putative non-trivial topology in YNiSn$_{2}$ Dirac semimetal
Gabriel S. Freitas, Kevin R. Pakuszewski, Alisson P. Machado, Henrique Pizzi, Fellipe B. Carneiro, Felipe S. Oliveira, Mario M. Piva, Eduardo M. Bittar, Yakov Kopelevich, Filip Ronning, Joe D. Thompson, Cris Adriano, Pascoal G. Pagliuso
https://arxiv.org/abs/2507.05500…

Putative non-trivial topology in YNiSn$_{2}$ Dirac semimetal
In this work, we investigate the properties of single-crystalline YNiSn$_{2}$ through x-ray powder diffraction, elemental analysis, electrical resistivity, magnetic susceptibility, and specific heat measurements. YNiSn$_{2}$ crystallizes in an orthorhombic structure within the Cmcm space group (63), forming plate-like crystals with the $b$ axis oriented out of the plane. The compound exhibits weak Pauli paramagnetism with a susceptibility of $χ_{0} = 2(3) \times 10^{-5}$ emu/mol-Oe and a small…

This https://arxiv.org/abs/2412.13664 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

A Skeleton-Based Topological Planner for Exploration in Complex Unknown Environments
The capability of autonomous exploration in complex, unknown environments is important in many robotic applications. While recent research on autonomous exploration have achieved much progress, there are still limitations, e.g., existing methods relying on greedy heuristics or optimal path planning are often hindered by repetitive paths and high computational demands. To address such limitations, we propose a novel exploration framework that utilizes the global topology information of observed …

Phase Topology Stability of an Optical Vortex via an Electrically Controlled Twist-Planar Oriented Liquid Crystal Fresnel Lens
Elena Melnikova, Katsiaryna Pantsialeyeva, Dmitry Gorbach, Alexei Tolstik, Sergei Slussarenko Jr., Alina Karabchevsky
https://arxiv.org/abs/2506.02632

Phase Topology Stability of an Optical Vortex via an Electrically Controlled Twist-Planar Oriented Liquid Crystal Fresnel Lens
Optical vortices (OVs) have emerged as a revolutionary concept in modern photonics, offering a unique method of manipulating light beyond conventional Gaussian beams. Despite their vast potential, phase topology stability remains unaddressed, limiting their widespread adoption and performance in real-world environments. Here, we reveal the missing link to assessing the stability of optical vortices using an electrically tunable twist-planar liquid crystal (LC) Fresnel lens. The proposed LC-base…

[2025-06-13 Fri (UTC), 4 new articles found for math.GT Geometric Topology]
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[2025-05-14 Wed (UTC), no new articles found for math.GN General Topology]
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[2025-06-13 Fri (UTC), 3 new articles found for math.AT Algebraic Topology]
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[2025-07-14 Mon (UTC), no new articles found for math.GN General Topology]
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internet_top_pop: Internet topology (PoP level) (1969-2012)
Assorted snapshots of internet graph at the Point of Presence (PoP) level (which lies between the IP and AS levels), collected from around the world and at various times. The earliest snapshots are for ARPANET (1969-1972), with a few more from pre-2000. Most are from 2006 onward. Metadata include link type or speed, longitudes, and latitudes of nodes, URL, and date of record.
This network has 19 nodes and 24 edges.

Replaced article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- Khovanov homology and rational unknotting
Damian Iltgen, Lukas Lewark, Laura Marino

On Singer's conjecture for the fourth algebraic transfer in certain generic degrees
Dang Vo Phuc
https://arxiv.org/abs/2506.10232 https://

On Singer's conjecture for the fourth algebraic transfer in certain generic degrees
Let $A$ be the Steenrod algebra over the finite field $k := \mathbb Z_2$ and $G(q)$ be the general linear group of rank $q$ over $k.$ A well-known open problem in algebraic topology is the explicit determination of the cohomology groups of the Steenrod algebra, ${\rm Ext}^{q, *}_A(k, k),$ for all homological degrees $q \geq 0.$ The Singer algebraic transfer of rank $q,$ formulated by William Singer in 1989, serves as a valuable method for the description of such Ext groups. This transfer maps f…

[2025-06-12 Thu (UTC), 3 new articles found for math.GT Geometric Topology]
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Topology of the Generalized Nash Equilibrium Problem
Matija Blagojevi\'c, Christof Sch\"utte
https://arxiv.org/abs/2507.03753 https://

Topology of the Generalized Nash Equilibrium Problem
The Generalized Nash Equilibrium Problem refers to the question of the existence of a Nash equilibrium in an abstract economy. This model is due to Kenneth J. Arrow and Gerard Debreu in their pioneering work from 1954. An abstract economy is an extension of John Nash's original concept of a non-cooperative game from the 1950's. Here players selfishly seek to maximize their profits, which may depend on the others' choices. The novelty of an abstract economy is that the players may now mutually c…

[2025-06-13 Fri (UTC), 2 new articles found for math.GN General Topology]
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Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Pontryagin-Weiss classes and a rational decomposition of spaces of homeomorphisms
Manuel Krannich, Alexander Kupers

Replaced article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- Stein-fillability and positivity in the mapping class group
Vitalijs Brejevs, Andy Wand

[2025-06-12 Thu (UTC), no new articles found for math.AT Algebraic Topology]
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[2025-06-11 Wed (UTC), 2 new articles found for math.GT Geometric Topology]
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[2025-06-12 Thu (UTC), no new articles found for math.GN General Topology]
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[2025-07-11 Fri (UTC), 3 new articles found for math.GT Geometric Topology]
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Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Torsion in Persistent Homology and Neural Networks
Maria Walch

[2025-07-11 Fri (UTC), 2 new articles found for math.AT Algebraic Topology]
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[2025-06-11 Wed (UTC), 1 new article found for math.AT Algebraic Topology]
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Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Splitting of abelian varieties in motivic stable homotopy category
Haoyang Liu
…

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Homotopy type of the unitary group of the uniform Roe algebra on $\mathbb{Z}^n$
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya