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

Kai Cieliebak·Ana Rita Gaio·Dietmar A. Salamon
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Abstract

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.

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Kai Cieliebak, Ana Rita Gaio, Dietmar A. Salamon. 1999-09-21. J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions. https://arxiv.org/abs/math/9909122

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