J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions

Ana Rita Gaio; Dietmar A. Salamon; Kai Cieliebak

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J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions

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arxiv math/9909122 v1 pith:VUBBFIM7 submitted 1999-09-21 math.SG math.GT

J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions

Kai Cieliebak , Ana Rita Gaio , Dietmar A. Salamon This is my paper

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keywords invariantsactionsgrouphamiltonianmomentcauchy-riemannconnectionconstruction

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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. They are derived from solutions of a PDE involving the Cauchy-Riemann operator, the curvature of a connection, and the moment map.

J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions

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