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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Slice links in $ S\sp{4}$

Author: Tim Cochran
Journal: Trans. Amer. Math. Soc. 285 (1984), 389-401
MSC: Primary 57Q45
MathSciNet review: 748845
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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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PII: S 0002-9947(1984)0748845-8
Keywords: Strongly slice link, spin cobordism, boundary link, homology boundary link
Article copyright: © Copyright 1984 American Mathematical Society

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