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math.SG2001
The symplectic vortex equations and invariants of Hamiltonian group actions
Kai Cieliebak, A. Rita Gaio, Ignasi Mundet i Riera +1
In this paper we define invariants of Hamiltonian group actions for central regular values of the moment map. The key hypotheses are that the moment map is proper and that the ambi…
math.SG2001
Gromov-Witten invariants of symplectic quotients and adiabatic limits
A. Rita Gaio, Dietmar A. Salamon
We study pseudoholomorphic curves in symplectic quotients as adiabatic limits of solutions of a system of nonlinear first order elliptic partial differential equations in the ambie…
math.SG1999
J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions
Kai Cieliebak, Ana Rita Gaio, Dietmar A. Salamon
We outline the construction of invariants of Hamiltonian group actions on symplectic manifolds. These invariants can be viewed as an equivariant version of Gromov-Witten invariants…