Consider a Hamiltonian action of a compact connected Lie group on a symplectic manifold $(Momega)$. Conjecturally under suitable assumptions there exists a morphism of cohomological field theories from the equivariant Gromov-Witten theory of $(Momega)$ to the Gromov-Witten theory of the symplectic quotient. The morphism should be a deformation of the Kirwan map. The idea due to D. A. Salamon is to define such a deformation by counting gauge equivalence classes of symplectic vortices over the complex plane $mathbb$. The present memoir is part of a project whose goal is to make this...
Consider a Hamiltonian action of a compact connected Lie group on a symplectic manifold $(Momega)$. Conjecturally under suitable assumptions there exi...
