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arXiv · 1709.09922

The Dold-Whitney theorem and the Sato-Levine invariant

Andrew Lobb
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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.

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Andrew Lobb. 2017-09-28. The Dold-Whitney theorem and the Sato-Levine invariant. https://arxiv.org/abs/1709.09922

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