Geodesic
Ergodicity of the mapping class group action on Deroin–Tholozan representations
Arnaud Maret1
1University of Heidelberg, Germany
Groups, geometry, and dynamics, Tome 16 (2022) no. 4, pp. 1341-1368

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DOI

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.
DOI : 10.4171/ggd/695
Classification : 58-XX, 37-XX, 53-XX, 57-XX
Mots-clés : Planar surface groups, character variety, mapping class group, symplectic structure, ergodicity, Deroin–Tholozan representations, total ellipticity

Arnaud Maret  1

1 University of Heidelberg, Germany 
Arnaud Maret. Ergodicity of the mapping class group action on Deroin–Tholozan representations. Groups, geometry, and dynamics, Tome 16 (2022) no. 4, pp. 1341-1368. doi: 10.4171/ggd/695
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     pages = {1341--1368},
     year = {2022},
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     doi = {10.4171/ggd/695},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/695/}
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