Ergodicity of the mapping class group action on Deroin-Tholozan representations
This note investigates the dynamics of the mapping class group action on compact connected components of relative character varieties of surface group representations into PSL(2, R), discovered by Deroin and Tholozan. We apply symplectic methods developed by Goldman and Xia to prove that the action...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
11 November 2022
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| In: |
Groups, geometry, and dynamics
Year: 2022, Volume: 16, Issue: 4, Pages: 1341-1368 |
| ISSN: | 1661-7215 |
| DOI: | 10.4171/ggd/695 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.4171/ggd/695 Verlag, lizenzpflichtig, Volltext: https://ems.press/journals/ggd/articles/8188714 |
| Author Notes: | Arnaud Maret |
| Summary: | This note investigates the dynamics of the mapping class group action on compact connected components of relative character varieties of surface group representations into PSL(2, R), discovered by Deroin and Tholozan. We apply symplectic methods developed by Goldman and Xia to prove that the action is ergodic. |
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| Item Description: | Gesehen am 24.03.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1661-7215 |
| DOI: | 10.4171/ggd/695 |