Mapping class group orbit closures for Deroin-Tholozan representations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917186890629120 |
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| author | Bouilly, Yohann Faraco, Gianluca Maret, Arnaud |
| author_facet | Bouilly, Yohann Faraco, Gianluca Maret, Arnaud |
| contents | We prove that infinite mapping class group orbits are dense in the character variety of Deroin-Tholozan representations. In other words, the action is minimal except for finite orbits. Our arguments rely on the symplectic structure of the character variety, emphasizing this geometric perspective over its algebraic properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mapping class group orbit closures for Deroin-Tholozan representations Bouilly, Yohann Faraco, Gianluca Maret, Arnaud Dynamical Systems Geometric Topology Symplectic Geometry 37B05, 57K20, 20C15 We prove that infinite mapping class group orbits are dense in the character variety of Deroin-Tholozan representations. In other words, the action is minimal except for finite orbits. Our arguments rely on the symplectic structure of the character variety, emphasizing this geometric perspective over its algebraic properties. |
| title | Mapping class group orbit closures for Deroin-Tholozan representations |
| topic | Dynamical Systems Geometric Topology Symplectic Geometry 37B05, 57K20, 20C15 |
| url | https://arxiv.org/abs/2411.10269 |