The $d\delta$--lemma for weakly Lefschetz symplectic manifolds

Abstract

For a symplectic manifold $(M,\omega )$, not necessarily hard Lefschetz, we prove a version of the Merkulov $d\delta$--lemma. We also study the $d\delta$--lemma and related cohomologies for compact symplectic solvmanifolds.

18 pages, no figures