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- W2019417047 abstract "In [G1], we combined the slicing obstructions of Levine [L] with those of Casson and Gordon [CGI], [CG2], [Go] in a nontrivial way. Essentially we related the metabolizer for the Seifert form of a slice knot which Levine guaranteed to the characters on the homology of the 2-fold branched cover (with vanishing Casson Gordon invariants) which Casson and Gordon guaranteed. In this paper we will simultaneously consider all the q-fold branch covers for q a prime power. We will define F + which strengthens the group F ' of [GI]. In [GL2] Livingston and Gilmer applied these methods to concordances of two component links with linking number zero. They defined an algebraic group ~ which enhanced F' to study concordances of links with two components. In this paper we will define an analogous strengthening ~ ' of ~, We also calculate enough Casson-Gordon invariants to decide when a genus one knot maps to zero in F +. Finally we give a new example of a link which is a fusion of a boundary link but not concordant to a boundary link. Cochran and Orr [CO] were the first to discover such links. Livingston was the first to observe that our work on Casson Gordon invariants could be applied to this problem [Li]. We would like to thank Chuck Livingston for many valuable conversations. We work in the smooth category." @default.
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- W2019417047 date "1993-12-01" @default.
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- W2019417047 title "Classical knot and link concordance" @default.
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- W2019417047 doi "https://doi.org/10.1007/bf02565807" @default.
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