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November 2013 The first Johnson subgroups act ergodically on $SU_2$-character varieties
Louis Funar, Julien Marché
J. Differential Geom. 95(3): 407-418 (November 2013). DOI: 10.4310/jdg/1381931734

Abstract

We show that the first Johnson subgroup of the mapping class group of a surface $\Sigma$ of genus greater than $1$ acts ergodically on the moduli space of representations of $\pi_1(\Sigma)$ in $SU_2$. Our proof relies on a local description of the latter space around the trivial representation and on the Taylor expansion of trace functions.

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Louis Funar. Julien Marché. "The first Johnson subgroups act ergodically on $SU_2$-character varieties." J. Differential Geom. 95 (3) 407 - 418, November 2013. https://doi.org/10.4310/jdg/1381931734

Information

Published: November 2013
First available in Project Euclid: 16 October 2013

zbMATH: 1294.30087
MathSciNet: MR3128990
Digital Object Identifier: 10.4310/jdg/1381931734

Rights: Copyright © 2013 Lehigh University

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Vol.95 • No. 3 • November 2013
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