Room P3.10, Mathematics Building

Hui Li, Instituto Superior Técnico

The fundamental group of symplectic manifolds with rank 1 Hamiltonian Lie group actions

Let M be a symplectic manifold, and let G be a connected compact rank 1 Lie group acting on M in a Hamiltonian fashion. We show that as fundamental groups of topological spaces, the fundamental group of the symplectic reduction of M is the same as the one of M.