Labeled four cycles and the $K(π,1)$-conjecture for Artin groups
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929567710576640 |
|---|---|
| author | Huang, Jingyin |
| author_facet | Huang, Jingyin |
| contents | We show that for a large class of Artin groups with Dynkin diagrams being a tree, the $K(π,1)$-conjecture holds. We also establish the $K(π,1)$-conjecture for another class of Artin groups whose Dynkin diagrams contain a cycle, which applies to some hyperbolic type Artin groups. This is based on a new approach to the $K(π,1)$-conjecture for Artin groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_16847 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Labeled four cycles and the $K(π,1)$-conjecture for Artin groups Huang, Jingyin Group Theory Geometric Topology Metric Geometry We show that for a large class of Artin groups with Dynkin diagrams being a tree, the $K(π,1)$-conjecture holds. We also establish the $K(π,1)$-conjecture for another class of Artin groups whose Dynkin diagrams contain a cycle, which applies to some hyperbolic type Artin groups. This is based on a new approach to the $K(π,1)$-conjecture for Artin groups. |
| title | Labeled four cycles and the $K(π,1)$-conjecture for Artin groups |
| topic | Group Theory Geometric Topology Metric Geometry |
| url | https://arxiv.org/abs/2305.16847 |