The Non-triviality of the Grope Filtrations of The Knot and Link Concordance Groups

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dc.creatorHorn, Peter D.
dc.date2008-04-16
dc.date.accessioned2026-07-07T09:32:58Z
dc.date.available2026-07-07T09:32:58Z
dc.descriptionWe consider the Grope filtration of the classical knot concordance group that was introduced in a paper of Cochran, Orr and Teichner. Our main result is that successive quotients at each stage in this filtration have infinite rank. We also establish the analogous result for the Grope filtration of the concordance group of string links consisting of more than one component.
dc.description16 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/0804.2661
dc.identifierhttp://arxiv.org/abs/0804.2661
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158976
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57M25; 57M10
dc.titleThe Non-triviality of the Grope Filtrations of The Knot and Link Concordance Groups
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