Topological dynamics on moduli spaces, I

Abstract

Let M be a one-holed torus with boundary M (a circle) and the mapping class group of M fixing M . The group 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 -action and give conditions for the individual -orbits to be dense in M C (SU(2)).