Automorphisms of character varieties
Geometric Topology
2026-01-14 v1
Abstract
We show that the algebraic automorphism group of the SL(2,C) character variety of a closed orientable surface with negative Euler characteristic is a finite extension of its mapping class group. Along the way, we provide a simple characterization of the valuations on the character algebra coming from measured laminations.
Cite
@article{arxiv.1909.12539,
title = {Automorphisms of character varieties},
author = {Julien Marché and Christopher-Lloyd Simon},
journal= {arXiv preprint arXiv:1909.12539},
year = {2026}
}
Comments
10 pages