The first johnson subgroups act ergodically on su_2-character varieties

Louis Funar Universit´e Grenoble Julien Marche Centre de Math´ematiques Laurent Schwartz

Differential Geometry mathscidoc:1609.10337

Journal of Differential Geometry, 95, (3), 407-418, 2013
We show that the first Johnson subgroup of the mapping class group of a surface  of genus greater than 1 acts ergodically on the moduli space of representations of π1() in SU2. 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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@inproceedings{louis2013the,
  title={THE FIRST JOHNSON SUBGROUPS ACT ERGODICALLY ON SU_2-CHARACTER VARIETIES},
  author={Louis Funar, and Julien Marche},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914083258196174999},
  booktitle={Journal of Differential Geometry},
  volume={95},
  number={3},
  pages={407-418},
  year={2013},
}
Louis Funar, and Julien Marche. THE FIRST JOHNSON SUBGROUPS ACT ERGODICALLY ON SU_2-CHARACTER VARIETIES. 2013. Vol. 95. In Journal of Differential Geometry. pp.407-418. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914083258196174999.
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