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 = HomC(π1(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.
All Science Journal Classification (ASJC) codes
- Applied Mathematics