Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866913256823586816 |
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| author | Dowdall, Spencer Durham, Matthew G. Leininger, Christopher J. Sisto, Alessandro |
| author_facet | Dowdall, Spencer Durham, Matthew G. Leininger, Christopher J. Sisto, Alessandro |
| contents | We show that for any lattice Veech group in the mapping class group $\mathrm{Mod}(S)$ of a closed surface $S$, the associated $π_1 S$--extension group is a hierarchically hyperbolic group. As a consequence, we prove that any such extension group is quasi-isometrically rigid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_00685 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity Dowdall, Spencer Durham, Matthew G. Leininger, Christopher J. Sisto, Alessandro Geometric Topology Group Theory 20F67, 20F65, 30F60, 57M60, 57M07 We show that for any lattice Veech group in the mapping class group $\mathrm{Mod}(S)$ of a closed surface $S$, the associated $π_1 S$--extension group is a hierarchically hyperbolic group. As a consequence, we prove that any such extension group is quasi-isometrically rigid. |
| title | Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity |
| topic | Geometric Topology Group Theory 20F67, 20F65, 30F60, 57M60, 57M07 |
| url | https://arxiv.org/abs/2111.00685 |