Automorphisms of character varieties

2019/09/27 by Marché, Julien, Simon, Christopher-Lloyd
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1909.12539

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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