On a Basis for the Framed Link Vector Space Spanned by Chord Diagrams

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dc.creatorBischof, B.
dc.creatorKogan, R.
dc.creatorYetter, D. N.
dc.date2008-01-21
dc.date.accessioned2026-07-07T08:55:40Z
dc.date.available2026-07-07T08:55:40Z
dc.descriptionIn view of the result of Kontsevich, now often called ``the fundamental theorem of Vassiliev theory'', identifying the graded dual of the associated graded vector space to the space of Vassiliev invariants filtered by degree with the linear span of chord diagrams modulo the ``4T-relation'' (and in the unframed case, the ``1T-'' or ``isolated chord relation''), it is a problem of some interest to provide a basis for the space of chord diagrams modulo the 4T-relation. We construct the basis for the vector space spanned by chord diagrams with n chords and m distinguishable link components, modulo 4T relations for n less than or equal to 5.
dc.description25 papers, numerous png figures
dc.identifierhttps://arxiv.org/abs/0801.3253
dc.identifierhttp://arxiv.org/abs/0801.3253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146348
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M27
dc.titleOn a Basis for the Framed Link Vector Space Spanned by Chord Diagrams
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