The action of the Mapping Class Group on the fundamental group of the complement of a finite subset of a Riemann surface of positive genus
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916715902795776 |
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| author | Da Col, Luca |
| author_facet | Da Col, Luca |
| contents | We describe the action of the mapping class group $M(g,n)$ on the fundamental group of $T_{g,n}$, a compact orientable topological surface of positive genus $g$ with $n$ marked points. This is achieved by computing the image of the generators of $M(g,n)$ as outer automorphisms of the fundamental group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_04109 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The action of the Mapping Class Group on the fundamental group of the complement of a finite subset of a Riemann surface of positive genus Da Col, Luca Algebraic Topology Geometric Topology Primary: 20F34, Secondary: 20F38, 57M05, 57M60 We describe the action of the mapping class group $M(g,n)$ on the fundamental group of $T_{g,n}$, a compact orientable topological surface of positive genus $g$ with $n$ marked points. This is achieved by computing the image of the generators of $M(g,n)$ as outer automorphisms of the fundamental group. |
| title | The action of the Mapping Class Group on the fundamental group of the complement of a finite subset of a Riemann surface of positive genus |
| topic | Algebraic Topology Geometric Topology Primary: 20F34, Secondary: 20F38, 57M05, 57M60 |
| url | https://arxiv.org/abs/2305.04109 |