Published online by Cambridge University Press: 20 November 2018
On a compact Kähler manifold $X$ with a holomorphic 2-form
$\alpha$, there is an almost complex structure associated with α. 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 Kähler surfaces to higher dimensions.