20 citations · 61 across the 14 of their papers we have counts for
17 papers
Group actions on injective spaces and Helly graphs
Thomas Haettel
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 spa…
Automorphisms and subdivisions of Helly graphs
Thomas Haettel
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…
New Garside structures and applications to Artin groups
Thomas Haettel, Jingyin Huang
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 tur…
metrics on cell complexes
Thomas Haettel, Nima Hoda, Harry Petyt
Motivated by the observation that groups can be effectively studied using metric spaces modelled on , , and geometry, we consider cell complexes equip…
Lattices, Garside structures and weakly modular graphs
Thomas Haettel, Jingyin Huang
In this article we study combinatorial non-positive curvature aspects of various simplicial complexes with natural shaped simplicies, including Euclidean buildings…
Locally elliptic actions, torsion groups, and nonpositively curved spaces
Thomas Haettel, Damian Osajda
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 automorphi…