Abstract

Let M be a one-holed torus with boundary ∂M (a circle) and Γ the mapping class group of M fixing ∂M. The group Γ acts on M_C(SU(2)) which is 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 M_C(SU(2)).

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