Topological dynamics on moduli spaces II

Joseph P. Previte, Eugene Z. Xia

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

Let M be an orientable genus g > 0 surface with boundary ∂M. Let Γ be the mapping class group of M fixing ∂M. The group Γ acts on MC = HomC1(M), SU(2))/SU(2), the space of SU(2)-gauge equivalence classes of flat SU(2)-connections on M with fixed holonomy on ∂M. We study the topological dynamics of the Γ-action and give conditions for the individual Γ-orbits to be dense in MC.

Original languageEnglish (US)
Pages (from-to)2475-2494
Number of pages20
JournalTransactions of the American Mathematical Society
Volume354
Issue number6
DOIs
StatePublished - Jan 1 2002

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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