Branched cyclic covers of simple knots

Strickland, Paul

doi:10.1090/S0002-9939-1984-0728365-2

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Branched cyclic covers of simple knots
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Proc. Amer. Math. Soc. 90 (1984), 440-444 Request permission

Abstract:

The Blanchfield pairing of simple $\left ( {2q - 1} \right )$-knots, $q \geqslant 2$, is used to give an algebraic characterization of those knots which may arise as $m$-fold branched cyclic covers of simple knots.

References

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C. Kearton, Blanchfield duality and simple knots, Trans. Amer. Math. Soc. 202 (1975), 141–160. MR 358796, DOI 10.1090/S0002-9947-1975-0358796-3
H. F. Trotter, On $S$-equivalence of Seifert matrices, Invent. Math. 20 (1973), 173–207. MR 645546, DOI 10.1007/BF01394094