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arXiv · 1602.08221

Symplectic Parabolicity and L^2 Symplectic Harmonic Forms

Qiang Tan·Hongyu Wang·Jiuru Zhou
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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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Qiang Tan, Hongyu Wang, Jiuru Zhou. 2016-02-26. Symplectic Parabolicity and L^2 Symplectic Harmonic Forms. https://arxiv.org/abs/1602.08221

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