Symplectic Parabolicity and L^2 Symplectic Harmonic Forms

Abstract

In this paper, we study the symplectic cohomologies and symplectic harmonic forms which introduced by Tseng and Yau. Based on this, we get if $(M^{2n},\omega )$ is a compact symplectic parabolic manifold which satisfies the hard Lefschetz property, then its Euler number satisfies the inequality $(-1{)}^n\chi (M)\ge 0$.

References in corpus (1)

• New aspects of the ddc-lemma