353-combinatorial curvature and the $3$-dimensional $K(π,1)$ conjecture
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914027766022144 |
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| author | Huang, Jingyin Przytycki, Piotr |
| author_facet | Huang, Jingyin Przytycki, Piotr |
| contents | We prove the $K(π,1)$ conjecture for Artin groups of dimension $3$. As an ingredient, we introduce a new form of combinatorial non-positive curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06914 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 353-combinatorial curvature and the $3$-dimensional $K(π,1)$ conjecture Huang, Jingyin Przytycki, Piotr Group Theory Geometric Topology Metric Geometry We prove the $K(π,1)$ conjecture for Artin groups of dimension $3$. As an ingredient, we introduce a new form of combinatorial non-positive curvature. |
| title | 353-combinatorial curvature and the $3$-dimensional $K(π,1)$ conjecture |
| topic | Group Theory Geometric Topology Metric Geometry |
| url | https://arxiv.org/abs/2509.06914 |