353-combinatorial curvature and the $3$-dimensional $K(π,1)$ conjecture

Jingyin Huang, Piotr Przytycki

公開日: 2025/9/8

Abstract

We prove the $K(\pi,1)$ conjecture for Artin groups of dimension $3$. As an ingredient, we introduce a new form of combinatorial non-positive curvature.