The Dehn-Nielsen-Baer Theorem for Bounded Surfaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917424637411328 |
|---|---|
| author | Wang, Elysia |
| author_facet | Wang, Elysia |
| contents | Let $Σ$ be a bounded surface. We prove the Dehn-Nielsen-Baer theorem for bounded surfaces to show that the mapping class group of $Σ$ is isomorphic to the automorphisms of the fundamental groupoid of $Σ$ that fix loops around the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18815 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Dehn-Nielsen-Baer Theorem for Bounded Surfaces Wang, Elysia Geometric Topology 57K20, 20L05 Let $Σ$ be a bounded surface. We prove the Dehn-Nielsen-Baer theorem for bounded surfaces to show that the mapping class group of $Σ$ is isomorphic to the automorphisms of the fundamental groupoid of $Σ$ that fix loops around the boundary. |
| title | The Dehn-Nielsen-Baer Theorem for Bounded Surfaces |
| topic | Geometric Topology 57K20, 20L05 |
| url | https://arxiv.org/abs/2604.18815 |