Holomorphic 2-forms and Vanishing Theorems for Gromov-Witten Invariants
Abstract
On a compact K\"ahler manifold X with a holomorphic 2-form , there is an almost complex structure associated with . We show how this implies vanishing theorems for the Gromov-Witten invariants of X. This extends the approach, used in lp for K\"ahler surfaces, to higher dimensions.
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