The Kontsevich integral and algebraic structures on the space of diagrams

dc.creatorWillerton, Simon
dc.date1999-09-24
dc.date2000-02-22
dc.date.accessioned2026-07-07T05:30:54Z
dc.date.available2026-07-07T05:30:54Z
dc.descriptionThis paper is part expository and part presentation of calculational results. The target space of the Kontsevich integral for knots is a space of diagrams; this space has various algebraic structures which are described here. These are utilized with Le's theorem on the behaviour of the Kontsevich integral under cabling and with the Melvin-Morton Theorem, to obtain, in the Kontsevich integral for torus knots, both an explicit expression up to degree five and the general coefficients of the wheel diagrams.
dc.description17 pages, many figures, to appear in the proceedings of Knots in Hellas 1998, cross-listed to Quantum Algebra. Feb 22nd 2000: sign error in definition of STU relation corrected
dc.identifierhttps://arxiv.org/abs/math/9909151
dc.identifierhttp://arxiv.org/abs/math/9909151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79151
dc.subjectGeometric Topology
dc.titleThe Kontsevich integral and algebraic structures on the space of diagrams
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