An introduction to the geometric and combinatorial group theory of Artin groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909988902928384 |
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| author | Boyd, Rachael |
| author_facet | Boyd, Rachael |
| contents | We give a brief introduction to the geometric and combinatorial group theory of Artin groups. In particular we introduce the $K(π,1)$ 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 $K(π,1)$ conjecture for Artin groups". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08658 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An introduction to the geometric and combinatorial group theory of Artin groups Boyd, Rachael Group Theory Algebraic Topology We give a brief introduction to the geometric and combinatorial group theory of Artin groups. In particular we introduce the $K(π,1)$ 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 $K(π,1)$ conjecture for Artin groups". |
| title | An introduction to the geometric and combinatorial group theory of Artin groups |
| topic | Group Theory Algebraic Topology |
| url | https://arxiv.org/abs/2601.08658 |