An introduction to the geometric and combinatorial group theory of Artin groups
Group Theory
2026-01-14 v1 Algebraic Topology
Abstract
We give a brief introduction to the geometric and combinatorial group theory of Artin groups. In particular we introduce the 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 conjecture for Artin groups".
Keywords
Cite
@article{arxiv.2601.08658,
title = {An introduction to the geometric and combinatorial group theory of Artin groups},
author = {Rachael Boyd},
journal= {arXiv preprint arXiv:2601.08658},
year = {2026}
}
Comments
Written in 2024 - uploaded to arXiv now for citation purposes. 23 pages