Symplectic Parabolicity and L^2 Symplectic Harmonic Forms

Published 26 Feb 2016 in math.SG | (1602.08221v3)

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 $(-1)^n\chi(M)\geq 0$.

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