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arXiv · 2012.05775

Ergodicity of the mapping class group action on Deroin-Tholozan representations

Arnaud Maret
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Abstract

This note investigates the dynamics of the mapping class group action on the character variety of super-maximal representations of the fundamental group of a punctured sphere into $\text{PSL}(2,\mathbb{R})$, 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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Arnaud Maret. 2020-12-10. Ergodicity of the mapping class group action on Deroin-Tholozan representations. https://arxiv.org/abs/2012.05775

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