Slice links in 𝑆⁴

Cochran, Tim

doi:10.1090/S0002-9947-1984-0748845-8

Slice links in $S^{4}$
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by Tim Cochran

Trans. Amer. Math. Soc. 285 (1984), 389-401

DOI: https://doi.org/10.1090/S0002-9947-1984-0748845-8

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Abstract:

We produce necessary and sufficient conditions of a homotopy-theoretic nature for a link of $2$-spheres in ${S^4}$ to be slice (i.e., cobordant to the unlink). We give algebraic conditions on the link group sufficient to guarantee sliceness, generalizing the known results for boundary links. The notion of a "stable link" is introduced and shown to be useful in constructing cobordisms in dimension $4$.

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