Branched cyclic covers of simple knots
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- by Paul Strickland PDF
- 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
- Richard C. Blanchfield, Intersection theory of manifolds with operators with applications to knot theory, Ann. of Math. (2) 65 (1957), 340–356. MR 85512, DOI 10.2307/1969966
- 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
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 440-444
- MSC: Primary 57Q45; Secondary 57M12
- DOI: https://doi.org/10.1090/S0002-9939-1984-0728365-2
- MathSciNet review: 728365