Equivariant Gromov - Witten Invariants

@article{Givental1996EquivariantG,
  title={Equivariant Gromov - Witten Invariants},
  author={A. Givental},
  journal={International Mathematics Research Notices},
  year={1996},
  volume={1996},
  pages={613-663}
}
  • A. Givental
  • Published 1996
  • Mathematics
  • International Mathematics Research Notices
The objective of this paper is to describe some construction and applications of the equivariant counterpart to the Gromov-Witten (GW) theory, i.e. intersection theory on spaces of (pseudo-) holomorphic curves in (almost-) Kahler manifolds. Given a Killing action of a compact Lie group G on a compact Kahler manifold X, the equivariant GW-theory provides, as we will show in Section 3, the equivariant cohomology space H G(X) with a Frobenius structure (see [2]). We discuss applications of the… Expand
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