Tootfinder

Ricci Solitons on a family of three dimensional Lorentzian Walker manifolds
A. Diatta, M. Ciss, A. S. Diallo
https://arxiv.org/abs/2508.10217 https://arxiv…

Ricci Solitons on a family of three dimensional Lorentzian Walker manifolds
A Ricci soliton is a natural generalization of an Einstein metric. On a pseudo-Riemannian manifold (M, g), it is defined by : $LX g + \r{ho} = λ g, where X is a smooth vector field on M , LX denotes the Lie derivative in the direction of X, \r{ho} is the Ricci tensor, and λ is a real constant. In this paper, we establish the existence of non-trivial Ricci solitons on a family of three-dimensional Lorentzian Walker manifolds.

Prompt Injection Attacks on LLM Generated Reviews of Scientific Publications
Janis Keuper
https://arxiv.org/abs/2509.10248 https://arxiv.org/pdf/2509.10248…

Prompt Injection Attacks on LLM Generated Reviews of Scientific Publications
The ongoing intense discussion on rising LLM usage in the scientific peer-review process has recently been mingled by reports of authors using hidden prompt injections to manipulate review scores. Since the existence of such "attacks" - although seen by some commentators as "self-defense" - would have a great impact on the further debate, this paper investigates the practicability and technical success of the described manipulations. Our systematic evaluation uses 1k reviews of 2024 ICLR papers…

CaRoBio: 3D Cable Routing with a Bio-inspired Gripper Fingernail
Jiahui Zuo, Boyang Zhang, Fumin Zhang
https://arxiv.org/abs/2508.09558 https://arxiv.org/p…

CaRoBio: 3D Cable Routing with a Bio-inspired Gripper Fingernail
The manipulation of deformable linear flexures has a wide range of applications in industry, such as cable routing in automotive manufacturing and textile production. Cable routing, as a complex multi-stage robot manipulation scenario, is a challenging task for robot automation. Common parallel two-finger grippers have the risk of over-squeezing and over-tension when grasping and guiding cables. In this paper, a novel eagle-inspired fingernail is designed and mounted on the gripper fingers, whi…

State Algebra for Propositional Logic
Dmitry Lesnik, Tobias Sch\"afer
https://arxiv.org/abs/2509.10326 https://arxiv.org/pdf/2509.10326

State Algebra for Propositional Logic
This paper presents State Algebra, a novel framework designed to represent and manipulate propositional logic using algebraic methods. The framework is structured as a hierarchy of three representations: Set, Coordinate, and Row Decomposition. These representations anchor the system in well-known semantics while facilitating the computation using a powerful algebraic engine. A key aspect of State Algebra is its flexibility in representation. We show that although the default reduction of a stat…

Demonstration of a photonic time-frequency Fourier transform and temporal double slit using atomic quantum memory
Ankit Papneja, Jesse Everett, Cameron Trainor, Aaron D. Tranter, Ben C. Buchler
https://arxiv.org/abs/2508.09316

Demonstration of a photonic time-frequency Fourier transform and temporal double slit using atomic quantum memory
Aquantummemoryforlightisexpectedtoplayacrucialroleinquantumcommunicationprotocols and distributed quantum computing. In addition to storage and buffering, a quantum memory can be used for manipulations of stored states to allow more complex quantum network operations. In this work, we demonstrate an in-memory Fourier transform using a combination of two well-established quantum memory protocols: Gradient Echo Memory and Electromagnetically Induced Transparency. Our experiment is realised using …

Sections of Jacobian fibrations over lines
J\'anos Koll\'ar, Giulia Sacc\`a
https://arxiv.org/abs/2508.09819 https://arxiv.org/pdf/2508.09819

Sections of Jacobian fibrations over lines
Let $|H|$ be a linear system on a smooth surface $S$. We study the cohomology classes of sections of the universal Jacobian over lines in $|H|$. When $S$ is a K3 surface, the universal compactified Jacobian is a hyperkähler manifold, and we do not see how to reconcile our results with some of the steps in [BKV25].

A quantitative stability result for regularity of optimal transport on compact manifolds
Micah Warren
https://arxiv.org/abs/2507.09035 https://

A quantitative stability result for regularity of optimal transport on compact manifolds
We use a Korevaar-style maximum principle approach to show the following: Fixing a $C^{2}$ bound on the log densities of a set of smooth measures, there is a quantifiably-sized Wasserstein neighborhood over which all pairs of such measures will enjoy smooth optimal transport. \ We do this in spite of unhelpful MTW\ curvature, by showing that when the gradient of the Kantorovich potential is small enough, the Hessian ``bound" places the Hessian in one of two disconnected regions, one bounded and…

Branched Covers of Open Manifolds
Mark Hughes, Alexandra Kjuchukova, Maggie Miller
https://arxiv.org/abs/2508.09842 https://arxiv.org/pdf/2508.09842…

Branched Covers of Open Manifolds
For $m=2$ and $m=3$ we prove that any connected, oriented, open manifold $M^m$ admits a simple branched covering map over $\mathbb{R}^m$. When $M$ has $k$ ends and $k$ is finite, the degree of the cover can be taken to be $mk$. Regardless of the number of ends, $M$ admits a branched covering map of countably infinite degree over $\mathbb{R}^m$. We also investigate which compact manifolds are universal bases, that is, are branch covered by all compact manifolds in the same dimension.

Back to harmonic mappings of compact Riemannian manifolds
Sergey Stepanov, Irina Tsyganok
https://arxiv.org/abs/2507.08105 https://ar…

Back to harmonic mappings of compact Riemannian manifolds
In this paper, we address several interconnected problems in the theory of harmonic maps between Riemannian manifolds. First, we present necessary background and establish one of the main results of the paper: a criterion characterizing when a smooth submersion or diffeomorphism between Riemannian manifolds is harmonic. This result provides a useful analytic condition for verifying the harmonicity of geometric mappings. Second, we investigate the L2-orthogonal decomposition of the pullback metr…

Intrinsic Dimension Estimating Autoencoder (IDEA) Using CancelOut Layer and a Projected Loss
Antoine Orioua, Philipp Krah, Julian Koellermeier
https://arxiv.org/abs/2509.10011 h…

Intrinsic Dimension Estimating Autoencoder (IDEA) Using CancelOut Layer and a Projected Loss
This paper introduces the Intrinsic Dimension Estimating Autoencoder (IDEA), which identifies the underlying intrinsic dimension of a wide range of datasets whose samples lie on either linear or nonlinear manifolds. Beyond estimating the intrinsic dimension, IDEA is also able to reconstruct the original dataset after projecting it onto the corresponding latent space, which is structured using re-weighted double CancelOut layers. Our key contribution is the introduction of the projected reconstr…