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

Doug Pickrell, Eugene Z. Xia

Research output: Contribution to journalArticle

14 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)339-362
Number of pages24
JournalCommentarii Mathematici Helvetici
Volume77
Issue number2
DOIs
StatePublished - Jan 1 2002

Keywords

  • Compact Lie group
  • Ergodic theory
  • Fundamental group of surface
  • Mapping class group
  • Moduli space

ASJC Scopus subject areas

  • Mathematics(all)

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