English

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

Symplectic Geometry 2007-05-23 v1 Geometric Topology

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.

Keywords

Cite

@article{arxiv.math/9909122,
  title  = {J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions},
  author = {Kai Cieliebak and Ana Rita Gaio and Dietmar A. Salamon},
  journal= {arXiv preprint arXiv:math/9909122},
  year   = {2007}
}

Comments

55 pages, no figures