The mapping class group action on-character varieties

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

Research output: Contribution to journalArticlepeer-review


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
JournalErgodic Theory and Dynamical Systems
Publication statusAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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