Mapping class group orbit closures for Deroin-Tholozan representations

preprint2026arXivOpen access

Abstract

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 orbits. Our arguments rely on the symplectic structure of the character variety, emphasizing this geometric perspective over its algebraic properties.

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