Geometry and Topology Seminar
Assume $G$ is a connected compact Lie group and $(M, \omega)$ is a symplectic manifold which admits a Hamiltonian $G$-action. At each regular value of the moment map, there is a natural reduced symplectic orbifold constructed by the symplectic reduction. In my talk, I will first review some recent results by Chen-Wang on the Hamiltonian Gromov-Witten theory in defining a new quantum deformation for the cohomology ring of a symplectic reduction. Then I will introduce the on-going project with Bohui Chen and Bai-Ling Wang on studying the relation between these invariants and Gromov-Witten invariants.