Labeled four cycles and the $K(\pi,1)$-conjecture for Artin groups
Group Theory
2024-10-31 v3 Geometric Topology
Metric Geometry
Abstract
We show that for a large class of Artin groups with Dynkin diagrams being a tree, the -conjecture holds. We also establish the -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 -conjecture for Artin groups.
Cite
@article{arxiv.2305.16847,
title = {Labeled four cycles and the $K(\pi,1)$-conjecture for Artin groups},
author = {Jingyin Huang},
journal= {arXiv preprint arXiv:2305.16847},
year = {2024}
}
Comments
Modifications according to the referee's report. Accepted version. 73 pages, 9 figures