Abstract

Consider a Hamiltonian action of a compact connected Lie group on a symplectic manifold $(M,\omega)$. Conjecturally, under suitable assumptions there exists a morphism of cohomological field theories from the equivariant Gromov-Witten theory of $(M,\omega)$ to the Gromov-Witten theory of the symplectic quotient. The morphism should be a deformation of the
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