
In an earlier paper, the author combined the knot concordance invariants of Levine with those of Casson-Gordon by considering the homology of the 2-fold branched cyclic cover. This approach is generalized in the present paper by simultaneously considering all the \(q\)-fold branched cyclic covers for \(q\) a prime power. As an application, a new example is given of a link which is a fusion of a boundary link but which is not concordant to a boundary link. Editorial remark: It has been pointed out by Daniel Moskovich on MathOverflow, \url{https://mathoverflow.net/questions/35468/widely-accepted-mathematical-results-that-were-later-shown-to-be-wrong/36097#36097}, that the proof of Theorem 1 of this paper contains a gap, as shown by S. Friedl in his PhD-Thesis (cf. [\textit{S. Friedl}, Algebr. Geom. Topol. 4, 893--934 (2004; Zbl 1067.57003)]).
Casson-Gordon invariants, 510.mathematics, slice knot, \(q\)-fold branched cyclic covers, Knots and links in the \(3\)-sphere, knot concordance invariants, concordant to a boundary link, fusion of a boundary link, Article
Casson-Gordon invariants, 510.mathematics, slice knot, \(q\)-fold branched cyclic covers, Knots and links in the \(3\)-sphere, knot concordance invariants, concordant to a boundary link, fusion of a boundary link, Article
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