Tootfinder

This https://arxiv.org/abs/2303.11218 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An infinite family of exotic subgroups of hyperbolic groups
We construct the first known infinite family of quasi-isometry classes of subgroups of hyperbolic groups which are not hyperbolic and are of type $\mathrm{FP}(\mathbb{Q})$. We give a simple criterion for producing many non-hyperbolic subgroups of hyperbolic groups with strong finiteness properties. We also observe that local hyperbolicity and algebraic fibring are mutually exclusive in higher dimensions.

Strongly Gauduchon Hyperbolicity and Two Other Types of Hyperbolicity
Yi Ma
https://arxiv.org/abs/2404.08830 https://arxiv.org/pdf/24…

Strongly Gauduchon Hyperbolicity and Two Other Types of Hyperbolicity
This paper proposes sG-hyperbolicity as a new tool for studying hyperbolicity on complex manifolds. It demonstrates that this notion leads to a wider class of divisorially hyperbolic manifolds compared to balanced hyperbolicity. We also introduce weakly p-Kähler hyperbolic structures and pluriclosed star split hyperbolic metrics as possible new avenues for exploration.

Excluding cosmetic surgeries on hyperbolic 3-manifolds
David Futer, Jessica S. Purcell, Saul Schleimer
https://arxiv.org/abs/2403.10448 https://

Excluding cosmetic surgeries on hyperbolic 3-manifolds
This paper employs knot invariants and results from hyperbolic geometry to develop a practical procedure for checking the cosmetic surgery conjecture on any given one-cusped manifold. This procedure has been used to establish the following computational results. First, we verify that all knots up to 19 crossings, and all one-cusped 3-manifolds in the SnapPy census, do not admit any purely cosmetic surgeries. Second, we check that a hyperbolic knot with at most 15 crossings only admits chirally …

Central limit theorems for Green metrics on hyperbolic groups
Stephen Cantrell, Mark Pollicott
https://arxiv.org/abs/2404.11512 https://

Central limit theorems for Green metrics on hyperbolic groups
Recently, the first author and Tanaka obtained a large deviation principle comparing two Green metrics on a non-elementary hyperbolic group $Γ$ associated to finitely supported, admissable probability measures. The aim of this article is to prove the corresponding central limit theorem. Furthermore, our results apply to various other metrics including length functions associated to Anosov representations and to group actions on hyperbolic metric spaces. In the particular case that $Γ$ is th…

Det blei ei litta kronikk fra meg, nå fŸr påske. Basert på boka jeg skreiv om hŸytidsmarkeringer i barnehager. https://www.barnehage.no/hva-svarer-vi-nar-barna-spor-hvorfor-matte-jesus-do/254937

Excluding cosmetic surgeries on hyperbolic 3-manifolds
David Futer, Jessica S. Purcell, Saul Schleimer
https://arxiv.org/abs/2403.10448 https://

Excluding cosmetic surgeries on hyperbolic 3-manifolds
This paper employs knot invariants and results from hyperbolic geometry to develop a practical procedure for checking the cosmetic surgery conjecture on any given one-cusped manifold. This procedure has been used to establish the following computational results. First, we verify that all knots up to 19 crossings, and all one-cusped 3-manifolds in the SnapPy census, do not admit any purely cosmetic surgeries. Second, we check that a hyperbolic knot with at most 15 crossings only admits chirally …

Acylindrical hyperbolicity for Artin groups with a visual splitting
Ruth Charney, Alexandre Martin, Rose Morris-Wright
https://arxiv.org/abs/2404.11393 htt…

Acylindrical hyperbolicity for Artin groups with a visual splitting
We establish a criterion that implies the acylindrical hyperbolicity of many Artin groups admitting a visual splitting. This gives a variety of new examples of acylindrically hyperbolic Artin groups, including many Artin groups of FC-type. Our approach relies on understanding when parabolic subgroups are weakly malnormal in a given Artin group. We formulate a conjecture for when this happens, and prove it for several classes of Artin groups, including all spherical-type, all two-dimensional, an…

CMC hypersurface with finite index in hyperbolic space $\mathbb{H}^4$
Han Hong
https://arxiv.org/abs/2404.10276 https://arxiv.org/pdf…

CMC hypersurface with finite index in hyperbolic space $\mathbb{H}^4$
In this paper, we prove that there are no complete noncompact constant mean curvature hypersurfaces with the mean curvature $H>1$ and finite index in hyperbolic space $\mathbb{H}^4$. This improves the previous best assumption, namely $H>\frac{64}{63}$, to the optimal case. A more general nonexistence result can be proved in a 4-dimensional Riemannian manifold with certain curvature conditions. The proof relies on the harmonic function theory developed by Li-Tam-Wang and the $μ$-bubble initiall…

Convex co-compact hyperbolic manifolds are determined by their pleating lamination
Bruno Dular, Jean-Marc Schlenker
https://arxiv.org/abs/2403.10090 https:…

Convex co-compact hyperbolic manifolds are determined by their pleating lamination
Convex co-compact 3-dimensional hyperbolic manifolds are uniquely determined by the pleating measured lamination on the boundary of their convex core.

Convex co-compact hyperbolic manifolds are determined by their pleating lamination
Bruno Dular, Jean-Marc Schlenker
https://arxiv.org/abs/2403.10090 https:…

Convex co-compact hyperbolic manifolds are determined by their pleating lamination
Convex co-compact 3-dimensional hyperbolic manifolds are uniquely determined by the pleating measured lamination on the boundary of their convex core.