Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces
Fuente:
arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909390071660544 |
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| author | Bonnafoux, Etienne Kany, Manuel Kattler, Pascal Matheus, Carlos Niño, Rogelio Sedano-Mendoza, Manuel Valdez, Ferrán Weitze-Schmithüsen, Gabriela |
| author_facet | Bonnafoux, Etienne Kany, Manuel Kattler, Pascal Matheus, Carlos Niño, Rogelio Sedano-Mendoza, Manuel Valdez, Ferrán Weitze-Schmithüsen, Gabriela |
| contents | The variations of Hodge structures of weight one associated to square-tiled surfaces naturally generate interesting subgroups of integral symplectic matrices called Kontsevich--Zorich monodromies. In this paper, we show that arithmetic groups are frequent among the Kontsevich--Zorich monodromies of square-tiled surfaces of low genera $g$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_06595 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces Bonnafoux, Etienne Kany, Manuel Kattler, Pascal Matheus, Carlos Niño, Rogelio Sedano-Mendoza, Manuel Valdez, Ferrán Weitze-Schmithüsen, Gabriela Dynamical Systems Geometric Topology The variations of Hodge structures of weight one associated to square-tiled surfaces naturally generate interesting subgroups of integral symplectic matrices called Kontsevich--Zorich monodromies. In this paper, we show that arithmetic groups are frequent among the Kontsevich--Zorich monodromies of square-tiled surfaces of low genera $g$. |
| title | Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2206.06595 |