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

Abstract

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

References in corpus (1)

• Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds