Holomorphic 2-forms and Vanishing Theorems for Gromov-Witten Invariants
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gromov-wittenhlerholomorphicinvariantstheoremsvanishingalmostapproach
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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.
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