A survey of classical knot concordance

dc.creatorLivingston, Charles
dc.date2003-07-06
dc.date2004-11-26
dc.date.accessioned2026-07-07T04:59:27Z
dc.date.available2026-07-07T04:59:27Z
dc.descriptionThis is survey about the classical knot concordance group, prepared for an upcoming handbook of knot theory. Topics include: the basic definitions of concordance; the theory of algebraic concordance as developed by Levine; the theory of Casson-Gordon invariants; applications of topological surgery as developed by Freedman; smooth results based on differential geometric techniques such as those of Donaldson; the filtration of the concordance group as developed by Cochran, Orr, and Teichner; and relations to classical 3-dimensional knot theory. There is also a short problem list.
dc.description25 pages, 2 figures. Minor typographical changes
dc.identifierhttps://arxiv.org/abs/math/0307077
dc.identifierhttp://arxiv.org/abs/math/0307077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67990
dc.subjectGeometric Topology
dc.subject57M25
dc.titleA survey of classical knot concordance
dc.typetext

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