English

Circle bundles over 4-manifolds

Geometric Topology 2014-04-02 v1 Algebraic Topology

Abstract

Every 1-connected topological 4-manifold M admits a S1S^{1}-covering by #_{r-1}S^{2}\times S^{3}, where r=r=rankH2(M;\QTRBbbZ)H^{2}(M;\QTR{Bbb}{Z}).

Keywords

Cite

@article{arxiv.math/0502469,
  title  = {Circle bundles over 4-manifolds},
  author = {Haibao Duan and Chao Liang},
  journal= {arXiv preprint arXiv:math/0502469},
  year   = {2014}
}

Comments

6 pages to appear in Archiv der Math