Counting mapping class group orbits under shearing coordinates
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866916811770953728 |
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| author | Lu, Sicheng Su, Weixu |
| author_facet | Lu, Sicheng Su, Weixu |
| contents | Let $S_{g,n}$ be an oriented surface of genus $g$ with $n$ punctures, where $2g-2+n>0$ and $n>0$. Any ideal triangulation of $S_{g,n}$ induces a global parametrization of the Teichmüller space $\mathcal{T}_{g,n}$ called the shearing coordinates. We study the asymptotics of the number of the mapping class group orbits with respect to the standard Euclidean norm of the shearing coordinates. The result is based on the works of Mirzakhani. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_10715 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Counting mapping class group orbits under shearing coordinates Lu, Sicheng Su, Weixu Geometric Topology Let $S_{g,n}$ be an oriented surface of genus $g$ with $n$ punctures, where $2g-2+n>0$ and $n>0$. Any ideal triangulation of $S_{g,n}$ induces a global parametrization of the Teichmüller space $\mathcal{T}_{g,n}$ called the shearing coordinates. We study the asymptotics of the number of the mapping class group orbits with respect to the standard Euclidean norm of the shearing coordinates. The result is based on the works of Mirzakhani. |
| title | Counting mapping class group orbits under shearing coordinates |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2103.10715 |