The Dold-Whitney theorem and the Sato-Levine invariant
arXiv:1709.09922
Abstract
We use the Dold-Whitney theorem classifying $SO(3)$-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.
5 pages