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arXiv · 2509.06914

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

Jingyin Huang·Piotr Przytycki
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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.

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BibTeXRIS

Jingyin Huang, Piotr Przytycki. 2025-09-08. 353-combinatorial curvature and the $3$-dimensional $K(\pi,1)$ conjecture. https://arxiv.org/abs/2509.06914

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