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
Journal	Ergodic Theory and Dynamical Systems
DOIs	https://doi.org/10.1017/etds.2020.50
Publication status	Accepted/In press - 2020

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1017/etds.2020.50

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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.}",

year = "2020",

doi = "10.1017/etds.2020.50",

language = "English",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

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