近复4-流形的上同调
辛几何
2013-07-11 v3 微分几何
摘要
基于 T. Draghici、T.-J. Li 和 W. Zhang 的近期工作，我们利用度量相容和辛2-形式相容的近复结构，进一步研究了闭近埃尔米特4-流形 (M, g, J, F) 的 J-反不变上同调子群 H_J 的维数 h_J 的性质。我们证明，对于 M 上一般的近复结构 J，有 h_J = 0。
引用
@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}
}
备注
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)