Filtration of the classical knot concordance group and Casson-Gordon invariants

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dc.creatorKim, Taehee
dc.date2002-07-24
dc.date.accessioned2026-07-07T04:49:49Z
dc.date.available2026-07-07T04:49:49Z
dc.descriptionIt is known that if any prime power branched cyclic cover of a knot in the 3-sphere is a homology sphere, then the knot has vanishing Casson-Gordon invariants. We construct infinitely many examples of (topologically) non-slice knots in the 3-sphere whose prime power branched cyclic covers are homology spheres. We show that these knots generate an infinite rank subgroup of F_(1.0)/F_(1.5) for which Casson-Gordon invariants vanish in Cochran-Orr-Teichner's filtration of the classical knot concordance group . As a corollary, it follows that Casson-Gordon invariants are not a complete set of obstructions to a second layer of Whitney disks.
dc.description13 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0207221
dc.identifierhttp://arxiv.org/abs/math/0207221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64573
dc.subjectGeometric Topology
dc.titleFiltration of the classical knot concordance group and Casson-Gordon invariants
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