About the uniqueness and the denominators of the Kontsevich Integral

dc.creatorLescop, Christine
dc.date2000-04-14
dc.date.accessioned2026-07-07T04:34:45Z
dc.date.available2026-07-07T04:34:45Z
dc.descriptionWe refine a Le and Murakami uniqueness theorem for the Kontsevich Integral in order to specify the relationship between the two (possibly equal) main universal link invariants: the Kontsevich Integral and the perturbative expression of the Chern-Simons theory. As a corollary, we prove that the Altschuler and Freidel anomaly (that groups the Bott and Taubes anomalous terms) is a combination of diagrams with two univalent vertices; and we explicitly define the isomorphism of the space of Feynman diagrams which transforms the Kontsevich Integral into the Poirier limit of the perturbative expression of the Chern-Simons theory, as a function of the anomaly. We use this corollary to improve the Le estimates on the denominators of the Kontsevich Integral.
dc.descriptionLaTeX, 23 pages, uses pstricks
dc.identifierhttps://arxiv.org/abs/math/0004094
dc.identifierhttp://arxiv.org/abs/math/0004094
dc.identifierJournal of Knot Theory and Its Ramifications, Vol. 11, 5 (2002) 759-780
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59026
dc.subjectGeometric Topology
dc.subject57M27 (Primary) 57M25, 17B37 (Secondary)
dc.titleAbout the uniqueness and the denominators of the Kontsevich Integral
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