On cohomology of almost complex 4-manifolds

Qiang Tan; Hongyu Wang; Ying Zhang; Peng Zhu

On cohomology of almost complex 4-manifolds

Symplectic Geometry 2013-07-11 v3 Differential Geometry

Authors: Qiang Tan , Hongyu Wang , Ying Zhang , Peng Zhu

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.

Keywords

almost complex 4-manifold cohomology J-anti-invariant subgroup almost Hermitian manifold generic almost complex structure h_J dimension

Cite

@article{arxiv.1112.0768,
  title  = {On cohomology of almost complex 4-manifolds},
  author = {Qiang Tan and Hongyu Wang and Ying Zhang and Peng Zhu},
  journal= {arXiv preprint arXiv:1112.0768},
  year   = {2013}
}

Comments

13 pages. Important Note: The second the two main results of the previous version of this paper has been dropped; it has been dealt with in a different paper (arXiv:1307.1513)

On cohomology of almost complex 4-manifolds

Abstract

Keywords

Cite

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