Branched coverings of $CP^2$ and other basic 4-manifolds

Riccardo Piergallini; Daniele Zuddas

doi:10.1112/blms.12463

Branched coverings of $CP^2$ and other basic 4-manifolds

Geometric Topology 2021-02-03 v4

Authors: Riccardo Piergallini , Daniele Zuddas

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

We give necessary and sufficient conditions for a 4-manifold to be a branched covering of $CP^2$ , $S^2\times S^2$ , $S^2 \mathbin{\tilde\times} S^2$ and $S^3 \times S^1$ , which are expressed in terms of the Betti numbers and the intersection form of the 4-manifold.

Keywords

branched covering 4-manifold CP^2 intersection form Betti numbers S^2×S^2 S^3×S^1

Cite

@article{arxiv.1707.03667,
  title  = {Branched coverings of $CP^2$ and other basic 4-manifolds},
  author = {Riccardo Piergallini and Daniele Zuddas},
  journal= {arXiv preprint arXiv:1707.03667},
  year   = {2021}
}

Comments

18 pages, 1 figure, 29 references

Related papers

View all related →