The Fundamental Theorem of Vassiliev Invariants

dc.creatorBar-Natan, Dror
dc.creatorStoimenow, Alexander
dc.date1997-02-06
dc.date.accessioned2026-07-07T09:17:28Z
dc.date.available2026-07-07T09:17:28Z
dc.descriptionThe "fundamental theorem of Vassiliev invariants" says that every weight system can be integrated to a knot invariant. We discuss four different approaches to the proof of this theorem: a topological/combinatorial approach following M. Hutchings, a geometrical approach following Kontsevich, an algebraic approach following Drinfel'd's theory of associators, and a physical approach coming from the Chern-Simons quantum field theory. Each of these approaches is unsatisfactory in one way or another, and hence we argue that we still don't really understand the fundamental theorem of Vassiliev invariants.
dc.descriptionLaTeX2e directory tree, 30 pp
dc.identifierhttps://arxiv.org/abs/q-alg/9702009
dc.identifierhttp://arxiv.org/abs/q-alg/9702009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153676
dc.subjectQuantum Algebra
dc.titleThe Fundamental Theorem of Vassiliev Invariants
dc.typetext

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