论文标题
映射类小组在Deroin-Tholozan表示形式上的成真。
Ergodicity of the mapping class group action on Deroin-Tholozan representations
论文作者
论文摘要
本说明调查了映射类小组动作对穿刺球体的基本组的特征多种超大分子表示的动力学,以$ \ text {psl}(2,\ mathbb {r})$被deroin和tholozan发现。我们采用高盛和Xia开发的符合方法来证明该动作是千古的。
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.