Gordian distance and Vassiliev invariants

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dc.creatorBaader, Sebastian
dc.date2007-03-27
dc.date.accessioned2026-07-07T07:54:06Z
dc.date.available2026-07-07T07:54:06Z
dc.descriptionThe Gordian distance between two knots measures how many crossing changes are needed to transform one knot into the other. It is known that there are always infinitely many non-equivalent knots `between' a pair of knots of Gordian distance two. In this paper we prove an extreme generalisation of this fact: there are knots with arbitrarily prescribed Vassiliev invariants between every pair of knots of Gordian distance two.
dc.description7 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0703786
dc.identifierhttp://arxiv.org/abs/math/0703786
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126475
dc.subjectGeometric Topology
dc.subject57M25
dc.titleGordian distance and Vassiliev invariants
dc.typetext

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