2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118116On a compact Kähler 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 Kähler surfaces, to higher dimensions.Symplectic GeometryAlgebraic Geometry53D45text