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Primitive cohomology of real degree two on compact symplectic manifolds

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Abstract

In this paper, we define the generalized Lejmi’s P J operator on a compact almost Kähler 2n-manifold. We get that J is C -pure and full if dim ker P J  = b 2−1. Additionally, we investigate the relationship between J -anti-invariant cohomology introduced by T.-J. Li and W. Zhang and new symplectic cohomologies introduced by L.-S. Tseng and S.-T. Yau on a closed symplectic 4-manifold.

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Correspondence to Qiang Tan.

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Supported by NSFC (China) Grants 11471145, 11401514 (Tan), 11371309 (Wang), 11426195 (Zhou).

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Tan, Q., Wang, H. & Zhou, J. Primitive cohomology of real degree two on compact symplectic manifolds. manuscripta math. 148, 535–556 (2015). https://doi.org/10.1007/s00229-015-0761-7

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  • DOI: https://doi.org/10.1007/s00229-015-0761-7

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