The Dold-Whitney theorem and the Sato-Levine invariant
classification
🧮 math.GT
keywords
dold-whitneyinvariantsato-levinetheorembundlesclassifyingcoincidescomplex
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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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