Effective count of square-tiled surfaces with prescribed real and imaginary foliations in connected components of strata
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916606849843200 |
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| author | Arana-Herrera, Francisco |
| author_facet | Arana-Herrera, Francisco |
| contents | We prove an effective estimate with a power saving error term for the number of square-tiled surfaces in a connected component of a stratum of quadratic differentials whose vertical and horizontal foliations belong to prescribed mapping class group orbits and which have at most $L$ squares. This result strengthens asymptotic counting formulas in work of Delecroix, Goujard, Zograf, Zorich, and the author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_04091 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Effective count of square-tiled surfaces with prescribed real and imaginary foliations in connected components of strata Arana-Herrera, Francisco Dynamical Systems Geometric Topology We prove an effective estimate with a power saving error term for the number of square-tiled surfaces in a connected component of a stratum of quadratic differentials whose vertical and horizontal foliations belong to prescribed mapping class group orbits and which have at most $L$ squares. This result strengthens asymptotic counting formulas in work of Delecroix, Goujard, Zograf, Zorich, and the author. |
| title | Effective count of square-tiled surfaces with prescribed real and imaginary foliations in connected components of strata |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2207.04091 |