On a classification of irreducible periodic diffeomorphisms on surfaces which commute with certain involution
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866908292159111168 |
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| author | Takahashi, Norihisa Nozawa, Hiraku |
| author_facet | Takahashi, Norihisa Nozawa, Hiraku |
| contents | Ishizaka classified up to conjugacy hyperelliptic periodic automorphisms of a surface. Here, an involution $I$ on a surface $Σ_{g}$ is hyperelliptic if and only if $Σ_{g}/\langle I \rangle$ is homeomorphic to $S^2$. In this article, we give a classification up to conjugacy for irreducible periodic automorphisms of a surface $Σ_{g}$ which commute with involutions $ι$ such that $Σ_{g}/\langle ι\rangle$ is homeomorphic to $T^{2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_06930 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On a classification of irreducible periodic diffeomorphisms on surfaces which commute with certain involution Takahashi, Norihisa Nozawa, Hiraku Algebraic Topology Geometric Topology Ishizaka classified up to conjugacy hyperelliptic periodic automorphisms of a surface. Here, an involution $I$ on a surface $Σ_{g}$ is hyperelliptic if and only if $Σ_{g}/\langle I \rangle$ is homeomorphic to $S^2$. In this article, we give a classification up to conjugacy for irreducible periodic automorphisms of a surface $Σ_{g}$ which commute with involutions $ι$ such that $Σ_{g}/\langle ι\rangle$ is homeomorphic to $T^{2}$. |
| title | On a classification of irreducible periodic diffeomorphisms on surfaces which commute with certain involution |
| topic | Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/2108.06930 |