Geodesic
Transitivity of normal subgroups of the mapping class groups on character varieties
Julien Marché1 orcid ; Maxime Wolff2 orcid
1Sorbonne Université, Paris, France
2Sorbonne Université, Paris, France; Université de Toulouse, CNRS, Toulouse, France
Groups, geometry, and dynamics, Tome 19 (2025) no. 1, pp. 187-193

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DOI

We prove that the action of any non-trivial normal subgroup of the mapping class group of a closed surface of genus g⩾2 is almost minimal on the character variety X(π1​Σg​,SU2​): the orbit of almost every point is dense.
DOI : 10.4171/ggd/764
Classification : 57M50, 57K20, 37E99
Mots-clés : character varieties, mapping class group

Julien Marché  1   ; Maxime Wolff  2

1 Sorbonne Université, Paris, France
2 Sorbonne Université, Paris, France; Université de Toulouse, CNRS, Toulouse, France 
Julien Marché; Maxime Wolff. Transitivity of normal subgroups of the mapping class groups on character varieties. Groups, geometry, and dynamics, Tome 19 (2025) no. 1, pp. 187-193. doi: 10.4171/ggd/764
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