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Geometry and Topology Seminar

Friday, April 29, 2016
3:00pm to 5:00pm
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On Hamiltonian Gromov-Witten theory for symplectic reductions
Rui Wang, Mathematics, University of California, Irvine,

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. 

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