The $d\delta$--lemma for weakly Lefschetz symplectic manifolds
  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. 
Marisa Fern\'andez, Vicente Mu\~noz, Luis Ugarte