Ergodicity of mapping class group actions on representation varieties, II. Surfaces with boundary

Doug Pickrell, Eugene Zhu Xia

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The mapping class group of a compact oriented surface of genus greater than one with boundary acts ergodically on connected components of the representation moduli corresponding to a connected compact Lie group, for every choice of conjugacy class boundary condition.

Original languageEnglish
Pages (from-to)397-402
Number of pages6
JournalTransformation Groups
Volume8
Issue number4
DOIs
Publication statusPublished - 2003 Jan 1

Fingerprint

Mapping Class Group
Compact Lie Group
Conjugacy class
Ergodicity
Group Action
Connected Components
Modulus
Genus
Boundary conditions

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

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abstract = "The mapping class group of a compact oriented surface of genus greater than one with boundary acts ergodically on connected components of the representation moduli corresponding to a connected compact Lie group, for every choice of conjugacy class boundary condition.",
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Ergodicity of mapping class group actions on representation varieties, II. Surfaces with boundary. / Pickrell, Doug; Xia, Eugene Zhu.

In: Transformation Groups, Vol. 8, No. 4, 01.01.2003, p. 397-402.

Research output: Contribution to journalArticle

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