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

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

1999-09-21

arxiv.org/abs/math/9909122v1

Mathematics

Symplectic Geometry

55 pages, no figures

Scientific paper

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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