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Ergodicity of mapping class group actions on representation varieties, I. Closed surfaces

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Commentarii Mathematici Helvetici

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Abstract.

We prove that the mapping class group of a closed surface acts ergodically on connected components of the representation variety corresponding to a connected compact Lie group.

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Authors and Affiliations

  1. University of Arizona, Department of Mathematics, Tucson, AZ 85721, USA,¶ e-mail: pickrell@math.arizona.edu , , , , , , US

    D. Pickrell

  2. University of Massachusetts, Department of Mathematics and Statistics, Amherst, MA 01003-4515, USA, e-mail: xia@math.umass.edu , , , , , , US

    E. Z. Xia

Authors
  1. D. Pickrell
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  2. E. Z. Xia
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Received: March 21, 2001

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Pickrell, D., Xia, E. Ergodicity of mapping class group actions on representation varieties, I. Closed surfaces. Comment. Math. Helv. 77, 339–362 (2002). https://doi.org/10.1007/s00014-002-8343-1

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  • DOI: https://doi.org/10.1007/s00014-002-8343-1

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