Hyperbolic structures for Artin-Tits groups of spherical type
Geometric Topology
2019-08-29 v2 Group Theory
Abstract
The goal of this mostly expository paper is to present several candidates for hyperbolic structures on irreducible Artin-Tits groups of spherical type and to elucidate some relations between them. Most constructions are algebraic analogues of previously known hyperbolic structures on Artin braid groups coming from natural actions of these groups on curve graphs and (modified) arc graphs of punctured disks.
Cite
@article{arxiv.1904.02234,
title = {Hyperbolic structures for Artin-Tits groups of spherical type},
author = {Matthieu Calvez and Bert Wiest},
journal= {arXiv preprint arXiv:1904.02234},
year = {2019}
}