4 citations · 4 across the 4 of their papers we have counts for
4 papers
Invariant measures for Deroin-Tholozan representations
Yohann Bouilly, Arnaud Maret
We classify mapping class group invariant probability measures on the character varieties of Deroin-Tholozan representations, namely the compact components of relative $\mathrm{PSL…
Mapping class group orbit closures for Deroin-Tholozan representations
Yohann Bouilly, Gianluca Faraco, Arnaud Maret
We prove that infinite mapping class group orbits are dense in the character variety of Deroin-Tholozan representations. In other words, the action is minimal except for finite orb…
Modular orbits on the representation spaces of compact abelian Lie groups
Yohann Bouilly, Gianluca Faraco
Let be a closed surface of genus greater than zero. In the present paper we study the topological-dynamical action of the mapping class group on the -character va…
On the Torelli group action on compact character varieties
Yohann Bouilly
The aim of this article is to prove that the Torelli group action on the G-character varieties is ergodic for G a connected, semi-simple and compact Lie group.