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- W4298266167 abstract "Various obstructions to knot concordance have been found using Casson-Gordon invariants, higher-order Alexander polynomials, as well as von-Neumann rho-invariants. Examples have been produced using (iterated) doubling operations K=R(c,J), and considering these as parametrized by invariants of the base knot J and doubling operator R. In this paper, we introduce a new mew method to obstruct concordance. We show that infinitely many distinct concordance classes may be constructed by varying the infecting curve c in S^3-R. Distinct concordance classes are found even while fixing the base knot, the doubling operator, and the order of c in the Alexander module." @default.
- W4298266167 created "2022-10-01" @default.
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- W4298266167 date "2011-03-01" @default.
- W4298266167 modified "2023-09-26" @default.
- W4298266167 title "The effect of infecting curves on knot concordance" @default.
- W4298266167 doi "https://doi.org/10.48550/arxiv.1103.0254" @default.
- W4298266167 hasPublicationYear "2011" @default.
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