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

 

Signature of links


Authors: Louis H. Kauffman and Laurence R. Taylor
Journal: Trans. Amer. Math. Soc. 216 (1976), 351-365
MSC: Primary 55A25
MathSciNet review: 0388373
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Abstract: Let L be an oriented tame link in the three sphere $ {S^3}$. We study the Murasugi signature, $ \sigma (L)$, and the nullity, $ \eta (L)$. It is shown that $ \sigma (L)$ is a locally flat topological concordance invariant and that $ \eta (L)$ is a topological concordance invariant (no local flatness assumption here). Known results about the signature are re-proved (in some cases generalized) using branched coverings.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1976-0388373-0
PII: S 0002-9947(1976)0388373-0
Keywords: Signature, link, nullity, branched covering, concordance, isotopy
Article copyright: © Copyright 1976 American Mathematical Society