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

Doug Pickrell; Eugene Z. Xia

doi:10.1007/s00031-003-0819-6

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

Doug Pickrell, Eugene Z. Xia

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

14 Scopus citations

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 language	English (US)
Pages (from-to)	397-402
Number of pages	6
Journal	Transformation Groups
Volume	8
Issue number	4
DOIs	https://doi.org/10.1007/s00031-003-0819-6
State	Published - Dec 2003

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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

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.",

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

year = "2003",

month = dec,

doi = "10.1007/s00031-003-0819-6",

language = "English (US)",

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pages = "397--402",

journal = "Transformation Groups",

issn = "1083-4362",

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T1 - Ergodicity of mapping class group actions on representation varieties, II. Surfaces with boundary

AU - Pickrell, Doug

AU - Xia, Eugene Z.

PY - 2003/12

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N2 - 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.

AB - 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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U2 - 10.1007/s00031-003-0819-6

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M3 - Article

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JO - Transformation Groups

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ER -

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

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