The mapping class group action on -character varieties

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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)2382-2396
Number of pages15
JournalErgodic Theory and Dynamical Systems
Volume41
Issue number8
DOIs
Publication statusPublished - 2021 Aug

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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