The first Johnson subgroups act ergodically on SU_2-character varieties

Louis Funar; Julien Marché

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arXiv · 1206.2541

The first Johnson subgroups act ergodically on SU_2-character varieties

Louis Funar·Julien Marché

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Abstract

We show that the first Johnson subgroup of the mapping class group of a surface S of genus greater than one acts ergodically on the moduli space of representations of the fundamental group of S 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. 2012-06-12. The first Johnson subgroups act ergodically on SU_2-character varieties. https://arxiv.org/abs/1206.2541

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