Hyperbolic structures for Artin-Tits groups of spherical type

Matthieu Calvez; Bert Wiest

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arXiv · 1904.02234

Hyperbolic structures for Artin-Tits groups of spherical type

Matthieu Calvez·Bert Wiest

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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.

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Matthieu Calvez, Bert Wiest. 2019-04-03. Hyperbolic structures for Artin-Tits groups of spherical type. https://arxiv.org/abs/1904.02234

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