Classical knot and link concordance
type: Item
instance of: scholarly article
title: Classical knot and link concordance
zbMATH Open document ID: 0805.57005
DOI: 10.1007/BF02565807
published in: Commentarii Mathematici Helvetici
publication date: 1995-01-31T00:00:00Z
full work available at URL: https://eudml.org/doc/140291
review text: 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)]).
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 218285
zbMATH Keywords: Casson-Gordon invariants
zbMATH Keywords: slice knot
zbMATH Keywords: knot concordance invariants
zbMATH Keywords: \(q\)-fold branched cyclic covers
zbMATH Keywords: fusion of a boundary link
zbMATH Keywords: concordant to a boundary link
author: Patrick M. Gilmer
reviewed by: C. Kearton
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 218285