English

Family Gromov-Witten Invariants for Kahler Surfaces

Symplectic Geometry 2007-05-23 v3 Algebraic Geometry

Abstract

The usual Gromov-Witten invariants are zero for K\"{a}hler surfaces with pg1p_g\geq 1. In this paper we use analytic methods to define Family Gromov-Witten Invariants for K\"{a}hler surfaces. We prove that these are well-defined invariants of the deformation class of the K\"{a}hler structure.

Keywords

Cite

@article{arxiv.math/0209402,
  title  = {Family Gromov-Witten Invariants for Kahler Surfaces},
  author = {Junho Lee},
  journal= {arXiv preprint arXiv:math/0209402},
  year   = {2007}
}