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arXiv · 1909.12539

Automorphisms of character varieties

Julien Marché·Christopher-Lloyd Simon
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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.

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Julien Marché, Christopher-Lloyd Simon. 2019-09-27. Automorphisms of character varieties. https://doi.org/10.5802/ahl.82

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