Holomorphic 2-Forms and Vanishing Theorems for Gromov-Witten Invariants
On a compact Kahler manifold X with a holomorphic 2-form alpha, there is an almost complex structure associated with alpha. We show how this implies vanishing theorems for the Gromov-Witten invariants of X. This extends the approach used by Parker and the author for Kahler surfaces to higher dimensions.
Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques
"Holomorphic 2-Forms and Vanishing Theorems for Gromov-Witten Invariants" (2009). Faculty Bibliography 2000s. 1781.