Bestvina metric and tree reduction for $K(π,1)$-conjecture
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910027925684224 |
|---|---|
| author | Huang, Jingyin |
| author_facet | Huang, Jingyin |
| contents | We reduce the $K(π,1)$-conjecture for all Artin groups to properties of Artin groups whose Coxeter diagrams are trees, from which we deduce new classes of Artin groups satisfying the $K(π,1)$-conjecture. This relies on constructing actions of Artin groups on Bestvina complexes of suitable Garside groupoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17982 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bestvina metric and tree reduction for $K(π,1)$-conjecture Huang, Jingyin Group Theory Geometric Topology Metric Geometry We reduce the $K(π,1)$-conjecture for all Artin groups to properties of Artin groups whose Coxeter diagrams are trees, from which we deduce new classes of Artin groups satisfying the $K(π,1)$-conjecture. This relies on constructing actions of Artin groups on Bestvina complexes of suitable Garside groupoids. |
| title | Bestvina metric and tree reduction for $K(π,1)$-conjecture |
| topic | Group Theory Geometric Topology Metric Geometry |
| url | https://arxiv.org/abs/2602.17982 |