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

 

Blanchfield duality and simple knots


Author: C. Kearton
Journal: Trans. Amer. Math. Soc. 202 (1975), 141-160
MSC: Primary 57C45
MathSciNet review: 0358796
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Abstract: The method of presentation for $ n$-knots is used to classify simple $ (2q - 1)$-knots, $ q > 3$, in terms of the Blanchfield duality pairing. As a corollary, we characterize the homology modules and pairings which can arise from classical knots.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1975-0358796-3
PII: S 0002-9947(1975)0358796-3
Keywords: $ n$-knot, knot presentation, Blanchfield duality pairing, simple knot
Article copyright: © Copyright 1975 American Mathematical Society