Labeled four cycles and the $K(\pi,1)$-conjecture for Artin groups

Autor:	Huang, Jingyin
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - Geometric Topology Mathematics - Metric Geometry
Druh dokumentu:	Working Paper
Popis:	We show that for a large class of Artin groups with Dynkin diagrams being a tree, the $K(\pi,1)$-conjecture holds. We also establish the $K(\pi,1)$-conjecture for another class of Artin groups whose Dynkin diagrams contain a cycle, which applies to some hyperbolic type Artin groups. This is based on a new approach to the $K(\pi,1)$-conjecture for Artin groups. Comment: Modifications according to the referee's report. Accepted version. 73 pages, 9 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.16847 Zobrazit plný text záznamu View this record from Arxiv