Algebraic knots are algebraically dependent
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- by Charles Livingston and Paul Melvin PDF
- Proc. Amer. Math. Soc. 87 (1983), 179-180 Request permission
Abstract:
Algebraic knots are linearly dependent in ${G_ - }$, the algebraic knot concordance group. An example of a linear relation between four algebraic knots is constructed.References
- C. Kearton, The Milnor signatures of compound knots, Proc. Amer. Math. Soc. 76 (1979), no. 1, 157–160. MR 534409, DOI 10.1090/S0002-9939-1979-0534409-1
- R. A. Litherland, Signatures of iterated torus knots, Topology of low-dimensional manifolds (Proc. Second Sussex Conf., Chelwood Gate, 1977) Lecture Notes in Math., vol. 722, Springer, Berlin, 1979, pp. 71–84. MR 547456 L. Rudolph, Notices Amer. Math. Soc. 23 (1976), 410.
- Lê Dũng Tráng, Sur les noeuds algébriques, Compositio Math. 25 (1972), 281–321 (French). MR 320000
- H. F. Trotter, On $S$-equivalence of Seifert matrices, Invent. Math. 20 (1973), 173–207. MR 645546, DOI 10.1007/BF01394094
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 179-180
- MSC: Primary 57M25; Secondary 57R90
- DOI: https://doi.org/10.1090/S0002-9939-1983-0677257-5
- MathSciNet review: 677257