Automorphisms of fine curve graphs of planar surfaces
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916782452768768 |
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| author | Shapiro, Roberta Wadhwa, Rohan Wang, Arthur Zhang, Yuchong |
| author_facet | Shapiro, Roberta Wadhwa, Rohan Wang, Arthur Zhang, Yuchong |
| contents | The fine curve graph of a surface is the graph whose vertices are simple closed essential curves in the surface and whose edges connect disjoint curves. In this paper, we prove that the automorphism group of the fine curve graph of a surface is naturally isomorphic to the homeomorphism group of the surface for boundaryless planar surfaces with at least 7 punctures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06142 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Automorphisms of fine curve graphs of planar surfaces Shapiro, Roberta Wadhwa, Rohan Wang, Arthur Zhang, Yuchong Geometric Topology The fine curve graph of a surface is the graph whose vertices are simple closed essential curves in the surface and whose edges connect disjoint curves. In this paper, we prove that the automorphism group of the fine curve graph of a surface is naturally isomorphic to the homeomorphism group of the surface for boundaryless planar surfaces with at least 7 punctures. |
| title | Automorphisms of fine curve graphs of planar surfaces |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2506.06142 |