English

Holomorphic 2-forms and Vanishing Theorems for Gromov-Witten Invariants

Symplectic Geometry 2007-05-23 v1 Algebraic Geometry

Abstract

On a compact K\"{a}hler manifold XX with a holomorphic 2-form \a\a, there is an almost complex structure associated with \a\a. We show how this implies vanishing theorems for the Gromov-Witten invariants of XX. This extends the approach, used in \cite{lp} for K\"{a}hler surfaces, to higher dimensions.

Keywords

Cite

@article{arxiv.math/0610782,
  title  = {Holomorphic 2-forms and Vanishing Theorems for Gromov-Witten Invariants},
  author = {Junho Lee},
  journal= {arXiv preprint arXiv:math/0610782},
  year   = {2007}
}
R2 v1 2026-07-22T17:44:59.750Z