Tootfinder

Fake-Bewertungen, Betrug und Manipulation im App Store: Apple nennt Zahlen
Apples stark frequentierter App Store lockt auch Betrüger in großem Stil. Der Konzern nennt neue Zahlen zu seinen Anti-Scam-Maßnahmen.

I also noticed what @… noticed: the Minneapolis police — Minneapolis!! — having to warn citizens about another law enforcement agency who are even more dangerous and less accountable than they are. https://hachyderm.io/@rationaldoge/114752072701388506

On nonorientable $4$--manifolds
R. \.Inan\c{c} Baykur, Porter Morgan
https://arxiv.org/abs/2506.20950 https://arxiv.org/pdf/2506.2095…

On nonorientable $4$--manifolds
We present several structural results on closed, nonorientable, smooth $4$--manifolds, extending analogous results and machinery for the orientable case. We prove the existence of simplified broken Lefschetz fibrations and simplified trisections on nonorientable $4$--manifolds, yielding descriptions of them via factorizations in mapping class groups of nonorientable surfaces. With these tools in hand, we classify low genera simplified broken Lefschetz fibrations on nonorientable $4$--manifolds.…

»Prompt-Injektionen bei GitHub Duo verbreiten Schadcode:
Vermeintlich hilfreiche KI-Tools wie GitLab Duo entpuppen sich als potenzielle Sicherheitsrisiken – Forscher zeigen, wie leicht sie sich manipulieren lassen.«
Ja es wurde pseudo behoben und ja es hat offensichtliches den Klartext wahrgenommen. Base64 so wie ASCII ist keine Verschlüsselung nur unlesbar von Menschen und das .env kommt nicht in's Git.
🧑‍💻

Prompt-Injektionen bei GitLab Duo verbreiten Schadcode
Vermeintlich hilfreiche KI-Tools wie GitLab Duo entpuppen sich als potenzielle Sicherheitsrisiken – Forscher zeigen, wie leicht sie sich manipulieren lassen.

A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary
Sergio Almaraz, Shaodong Wang
https://arxiv.org/abs/2506.20453

A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary
On a smooth asymptotically flat Riemannian manifold with non-compact boundary, we prove a positive mass theorem for metrics which are only continuous across a compact hypersurface. As an application, we obtain a positive mass theorem on manifolds with non-compact corners.

Data-Driven Dynamic Factor Modeling via Manifold Learning
Graeme Baker, Agostino Capponi, J. Antonio Sidaoui
https://arxiv.org/abs/2506.19945 https://

Data-Driven Dynamic Factor Modeling via Manifold Learning
We propose a data-driven dynamic factor framework where a response variable depends on a high-dimensional set of covariates, without imposing any parametric model on the joint dynamics. Leveraging Anisotropic Diffusion Maps, a nonlinear manifold learning technique introduced by Singer and Coifman, our framework uncovers the joint dynamics of the covariates and responses in a purely data-driven way. We approximate the embedding dynamics using linear diffusions, and exploit Kalman filtering to pr…

Polytopality criteria for the mix of polytopes and maniplexes
Gabe Cunningham, Isabel Hubard
https://arxiv.org/abs/2506.19334 https://

Polytopality criteria for the mix of polytopes and maniplexes
The mix of two maniplexes is the minimal maniplex that covers both. This construction has many important applications, such as finding the smallest regular cover of a maniplex. If one of the maniplexes is an abstract polytope, a natural question to ask is whether the mix is also a polytope. We describe here a general criterion for the polytopality of the mix which generalizes several previously-known polytopality criteria.

Localization of strings on group manifolds
Sameer Murthy, Edward Witten
https://arxiv.org/abs/2506.20028 https://arxiv.org/pdf/2506.2…

Localization of strings on group manifolds
We compute the partition function of the WZW model with target a compact Lie group $G$ by adapting a method used by Choi and Takhtajan to compute the heat kernel of the group manifold. The basic idea is to compute the partition function of a supersymmetric version of the WZW model using a form of supersymmetric localization and then use the fact that, since the fermions of the supersymmetric WZW model are actually decoupled from the bosons, this also determines the partition function of the pur…

On regularity of profinite isomorphisms between cusped hyperbolic 3-manifolds and the $A$-polynomial
Xiaoyu Xu
https://arxiv.org/abs/2506.21105 https://

On regularity of profinite isomorphisms between cusped hyperbolic 3-manifolds and the $A$-polynomial
We prove that any isomorphism between the profinite completions of the fundamental groups of two cusped finite-volume hyperbolic 3-manifolds is regular and peripheral regular. As an application, we show that the $A$-polynomial of prime knots in $S^3$ is a profinite invariant, up to possible mirror image.

Salem numbers and commensurability classes of arithmetic hyperbolic manifolds
Michelle Chu, Plinio G. P. Murillo
https://arxiv.org/abs/2506.20552 https://

Salem numbers and commensurability classes of arithmetic hyperbolic manifolds
In this article we show that given a Salem number $λ$, a totally real number field $k\subseteq\mathbb{Q}(λ+λ^{-1})$, and a positive integer $n\geq\mathrm{deg}_k(λ)-1$, there exist infinitely many commensurability classes of arithmetic hyperbolic $n$-manifolds defined over $k$ which contain a geodesic of length $\logλ$.