English

The Dold-Whitney theorem and the Sato-Levine invariant

Geometric Topology 2017-09-29 v1

Abstract

We use the Dold-Whitney theorem classifying SO(3)SO(3)-bundles over a 4-complex to give a mod 4 obstruction to a 2-component link of trivial linking number being slice. It turns out that this coincides with the reduction of the Sato-Levine invariant.

Keywords

Cite

@article{arxiv.1709.09922,
  title  = {The Dold-Whitney theorem and the Sato-Levine invariant},
  author = {Andrew Lobb},
  journal= {arXiv preprint arXiv:1709.09922},
  year   = {2017}
}

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5 pages