Angle Parametrization of Teichmüller space and hyperelliptic surfaces
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914721446232064 |
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| author | Behera, Subash Chandra Parsad, Shiv |
| author_facet | Behera, Subash Chandra Parsad, Shiv |
| contents | Let $S_g$ be a closed orientable surface of genus $g \geq 2$, and let $\mathcal{T}_g$ be the Teichmüller space of $S_g$. Let $\mathcal{H}_g$ denotes the space of all hyperelliptic surfaces of genus $g$. For $g\geq 3$, we have proved that $\mathcal{T}_g$ can be parametrized by $6g-5$ angle parameters. We also prove that for $g\geq 2$, $\mathcal{H}_g$ can be parametrized by $4g-2$ angle parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18845 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Angle Parametrization of Teichmüller space and hyperelliptic surfaces Behera, Subash Chandra Parsad, Shiv Geometric Topology Primary 32G15, 57K20 Let $S_g$ be a closed orientable surface of genus $g \geq 2$, and let $\mathcal{T}_g$ be the Teichmüller space of $S_g$. Let $\mathcal{H}_g$ denotes the space of all hyperelliptic surfaces of genus $g$. For $g\geq 3$, we have proved that $\mathcal{T}_g$ can be parametrized by $6g-5$ angle parameters. We also prove that for $g\geq 2$, $\mathcal{H}_g$ can be parametrized by $4g-2$ angle parameters. |
| title | Angle Parametrization of Teichmüller space and hyperelliptic surfaces |
| topic | Geometric Topology Primary 32G15, 57K20 |
| url | https://arxiv.org/abs/2402.18845 |