Bestvina metric and tree reduction for $K(\pi,1)$-conjecture
Group Theory
2026-02-23 v1 Geometric Topology
Metric Geometry
Abstract
We reduce the -conjecture for all Artin groups to properties of Artin groups whose Coxeter diagrams are trees, from which we deduce new classes of Artin groups satisfying the -conjecture. This relies on constructing actions of Artin groups on Bestvina complexes of suitable Garside groupoids.
Cite
@article{arxiv.2602.17982,
title = {Bestvina metric and tree reduction for $K(\pi,1)$-conjecture},
author = {Jingyin Huang},
journal= {arXiv preprint arXiv:2602.17982},
year = {2026}
}
Comments
50 pages, 5 figures