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

Doug Pickrell; Eugene Z. Xia

doi:10.1007/s00014-002-8343-1

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

Doug Pickrell, Eugene Z. Xia

Research output: Contribution to journal › Article › peer-review

19 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 language	English (US)
Pages (from-to)	339-362
Number of pages	24
Journal	Commentarii Mathematici Helvetici
Volume	77
Issue number	2
DOIs	https://doi.org/10.1007/s00014-002-8343-1
State	Published - 2002

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.1007/s00014-002-8343-1

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

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.",

keywords = "Compact Lie group, Ergodic theory, Fundamental group of surface, Mapping class group, Moduli space",

author = "Doug Pickrell and Xia, \{Eugene Z.\}",

year = "2002",

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T1 - Ergodicity of mapping class group actions on representation varieties, I. Closed surfaces

AU - Pickrell, Doug

AU - Xia, Eugene Z.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - Compact Lie group

KW - Ergodic theory

KW - Fundamental group of surface

KW - Mapping class group

KW - Moduli space

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JF - Commentarii Mathematici Helvetici

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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