Zobrazeno 1 - 10
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pro vyhledávání: '"Haettel, Thomas"'
Autor:
Haettel, Thomas
These are lecture notes for a minicourse on group actions on injective spaces and Helly graphs, given at the CRM Montreal in June 2023. We review the basics of injective metric spaces and Helly graphs, emphasizing the parallel between the two theorie
Externí odkaz:
http://arxiv.org/abs/2307.00414
Autor:
Haettel, Thomas
We study Helly graphs of finite combinatorial dimension, i.e. whose injective hull is finite-dimensional. We describe very simple fine simplicial subdivisions of the injective hull of a Helly graph, following work of Lang. We also give a very explici
Externí odkaz:
http://arxiv.org/abs/2307.00401
Autor:
Haettel, Thomas, Huang, Jingyin
Garside groups are combinatorial generalizations of braid groups which enjoy many nice algebraic, geometric, and algorithmic properties. In this article we propose a method for turning the direct product of a group $G$ by $\mathbb{Z}$ into a Garside
Externí odkaz:
http://arxiv.org/abs/2305.11622
Motivated by the observation that groups can be effectively studied using metric spaces modelled on $\ell^1$, $\ell^2$, and $\ell^\infty$ geometry, we consider cell complexes equipped with an $\ell^p$ metric for arbitrary $p$. Under weak conditions t
Externí odkaz:
http://arxiv.org/abs/2302.03801
Autor:
Azemar, Aitor, Gadre, Vaibhav, Gouëzel, Sébastien, Haettel, Thomas, Lessa, Pablo, Uyanik, Caglar
Publikováno v:
Journal of Modern Dynamics, 2023, 19: 815-832
Consider a closed surface $M$ with negative Euler characteristic, and an admissible probability measure on the fundamental group of $M$ with finite first moment. Corresponding to each point in the Teichm\"uller space of $M$, there is an associated ra
Externí odkaz:
http://arxiv.org/abs/2212.06581
Autor:
Haettel, Thomas
We motivate the study of metric spaces with a unique convex geodesic bicombing, which we call CUB spaces. These encompass many classical notions of nonpositive curvature, such as CAT(0) spaces and Busemann-convex spaces. Groups having a geometric act
Externí odkaz:
http://arxiv.org/abs/2211.07857
Autor:
Haettel, Thomas, Huang, Jingyin
In this article we study combinatorial non-positive curvature aspects of various simplicial complexes with natural $\widetilde A_n$ shaped simplicies, including Euclidean buildings of type $\widetilde A_n$ and Cayley graphs of Garside groups and thei
Externí odkaz:
http://arxiv.org/abs/2211.03257
Autor:
Haettel, Thomas
Consider an affine Coxeter group $W$ acting by isometries on the Euclidean space $\mathbb{R}^n$, and the arrangement of its reflection hyperplanes. The fundamental group of the complement $Y_W$ of the complexification of this arrangement in $\mathbb{
Externí odkaz:
http://arxiv.org/abs/2206.09329
Autor:
Haettel, Thomas, Huang, Jingyin
Publikováno v:
In Journal of Algebra 15 October 2024 656:226-258
Autor:
Haettel, Thomas, Osajda, Damian
Extending and unifying a number of well-known conjectures and open questions, we conjecture that locally elliptic (that is, every element has a bounded orbit) actions by automorphisms of finitely generated groups on finite dimensional nonpositively c
Externí odkaz:
http://arxiv.org/abs/2110.12431