4 papers · 1 filter
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…
Tykhyy's Conjecture on finite mapping class group orbits
Samuel Bronstein, Arnaud Maret
We classify the finite orbits of the mapping class group action on the character variety of Deroin--Tholozan representations of punctured spheres. In particular, we prove that the…
Ergodicity of the mapping class group action on Deroin-Tholozan representations
Arnaud Maret
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…