Ergodicity of the mapping class group action on Deroin–Tholozan representations
Arnaud Maret
University of Heidelberg, Germany
![Ergodicity of the mapping class group action on Deroin–Tholozan representations cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ggd-volume-16-issue-4.png&w=3840&q=90)
Abstract
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, ), discovered by Deroin and Tholozan. We apply symplectic methods developed by Goldman and Xia to prove that the action is ergodic.
Cite this article
Arnaud Maret, Ergodicity of the mapping class group action on Deroin–Tholozan representations. Groups Geom. Dyn. 16 (2022), no. 4, pp. 1341–1368
DOI 10.4171/GGD/695