On cohomology of almost complex 4-manifolds

Details On cohomology of almost complex 4-manifolds On cohomology of almost complex 4-manifolds

2011-12-04

arxiv.org/abs/1112.0768v1

Mathematics

Symplectic Geometry

20 pages

Scientific paper

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 fundamental 2-form compatible almost complex structures. We prove that h_J^- =0 for generic almost complex structures J on M. We also prove that h_J^- is constant for almost complex structures J on M that are compatible with the same fundamental 2-form F.

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