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

Junho Lee

math.SGarXiv:math/0610782

Abstract

On a compact Kähler 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 Kähler surfaces, to higher dimensions.

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