353-combinatorial curvature and the $3$-dimensional $K(\pi,1)$ conjecture
Group Theory
2025-09-09 v1 Geometric Topology
Metric Geometry
Abstract
We prove the conjecture for Artin groups of dimension . As an ingredient, we introduce a new form of combinatorial non-positive curvature.
Keywords
Cite
@article{arxiv.2509.06914,
title = {353-combinatorial curvature and the $3$-dimensional $K(\pi,1)$ conjecture},
author = {Jingyin Huang and Piotr Przytycki},
journal= {arXiv preprint arXiv:2509.06914},
year = {2025}
}
Comments
69 pages, 28 figures