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

Douglas M Pickrell, Eugene Z. 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 (US)
Pages (from-to)397-402
Number of pages6
JournalTransformation Groups
Volume8
Issue number4
StatePublished - Dec 2003

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ergodicity of mapping class group actions on representation varieties, II. Surfaces with boundary. / Pickrell, Douglas M; Xia, Eugene Z.

In: Transformation Groups, Vol. 8, No. 4, 12.2003, p. 397-402.

Research output: Contribution to journalArticle

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