Transitivity of normal subgroups of the mapping class group on character varieties

Julien Marché, Maxime Wolff

Published 2022-03-21Version 1

We prove that the action of any non-trivial normal subgroup of the mapping class group of a surface of genus $g\geqslant 2$ is almost minimal on the character variety $X(\pi_1\Sigma_g,{\rm SU}_2)$: the orbit of almost every point is dense.