Lefschetz decomposition for de Rham cohomology on weakly Lefschetz symplectic manifolds

Abstract

For a compact symplectic manifold which is s-Lefschetz which is weaker than the hard Lefschetz property, we prove that the Lefschetz decomposition for de Rham cohomology also holds.

Keywords

Symplectic manifold / s-Lefschetz / Lefschetz decomposition / s-ddΛ-lemma

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Higher Education Press and Springer-Verlag Berlin Heidelberg