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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Bibliographic Details
Main Author: Maret, Arnaud (Author)
Format: Article (Journal)
Language:English
Published: 11 November 2022
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
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Author Notes:Arnaud Maret
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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.
Item Description:Gesehen am 24.03.2023
Physical Description:Online Resource
ISSN:1661-7215
DOI:10.4171/ggd/695