%0 Journal Article %T Holomorphic 2-forms and Vanishing Theorems for Gromov-Witten Invariants %A Junho Lee %J Mathematics %D 2006 %I arXiv %X On a compact K\"{a}hler 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 K\"{a}hler surfaces, to higher dimensions. %U http://arxiv.org/abs/math/0610782v1