Remote Access Transactions of the American Mathematical Society
Green Open Access

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57Q45

Retrieve articles in all journals with MSC: 57Q45


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1984-0748845-8
Keywords: Strongly slice link, spin cobordism, boundary link, homology boundary link
Article copyright: © Copyright 1984 American Mathematical Society