The mapping class group action on -character varieties

William M. Goldman; Sean Lawton; Eugene Z. Xia

doi:10.1017/etds.2020.50

The mapping class group action on -character varieties

William M. Goldman, Sean Lawton, Eugene Z. Xia

Department of Mathematics

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

Abstract

Let be a compact orientable surface of genus with boundary component. The mapping class group of acts on the -character variety of. We show that the action is ergodic with respect to the natural symplectic measure on the character variety.

Original language	English
Pages (from-to)	2382-2396
Number of pages	15
Journal	Ergodic Theory and Dynamical Systems
Volume	41
Issue number	8
DOIs	https://doi.org/10.1017/etds.2020.50
Publication status	Published - 2021 Aug

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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title = "The mapping class group action on -character varieties",

abstract = "Let be a compact orientable surface of genus with boundary component. The mapping class group of acts on the -character variety of. We show that the action is ergodic with respect to the natural symplectic measure on the character variety.",

author = "Goldman, {William M.} and Sean Lawton and Xia, {Eugene Z.}",

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year = "2021",

month = aug,

doi = "10.1017/etds.2020.50",

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AU - Xia, Eugene Z.

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AB - Let be a compact orientable surface of genus with boundary component. The mapping class group of acts on the -character variety of. We show that the action is ergodic with respect to the natural symplectic measure on the character variety.

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The mapping class group action on -character varieties

Abstract

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