3 papers
math.RT2024
Totally elliptic surface group representations
Arnaud Maret
A surface group representation into a Lie group is called totally elliptic if every simple closed curve on the surface is mapped to an elliptic element of the target group. In this…
math.DS2024
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…
math.DG2022
Proceedings of the Young Researchers Workshop on Positivity in Lie Groups
Xenia Flamm, Arnaud Maret
These notes transcribe a workshop about the notion of total positivity and -positivity and its relation to Higher Teichmüller Theory. -positivity is a notion of positivity in…