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arXiv · 2601.08658

An introduction to the geometric and combinatorial group theory of Artin groups

Rachael Boyd
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Abstract

We give a brief introduction to the geometric and combinatorial group theory of Artin groups. In particular we introduce the $K(\pi,1)$ conjecture for Artin groups and survey known results as of January 2024. These notes were written as companion notes for the MFO mini-workshop 2405a "Artin groups meet triangulated categories" alongside Edmund Heng's notes "Introduction to stability conditions and its relation to the $K(\pi,1)$ conjecture for Artin groups".

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Rachael Boyd. 2026-01-13. An introduction to the geometric and combinatorial group theory of Artin groups. https://arxiv.org/abs/2601.08658

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