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arXiv · 1112.0768

On cohomology of almost complex 4-manifolds

Qiang Tan·Hongyu Wang·Ying Zhang·Peng Zhu
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Abstract

Based on recent work of T. Draghici, T.-J. Li and W. Zhang, we further investigate properties of the dimension h_J of the J-anti-invariant cohomology subgroup H_J of a closed almost Hermitian 4-manifold (M, g, J, F) using metric compatible and symplectic 2-form compatible almost complex structures. We prove that h_J = 0 for generic almost complex structures J on M.

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Qiang Tan, Hongyu Wang, Ying Zhang, Peng Zhu. 2013-07-10. On cohomology of almost complex 4-manifolds. https://arxiv.org/abs/1112.0768

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