2000/04/14 by Christine Lescop
Mathematics · #math.GT #msc:57M27 #msc:57M25 #msc:17B37
published as Journal of Knot Theory and Its Ramifications, Vol. 11, 5 (2002) 759-780 · LaTeX, 23 pages, uses pstricks
arxiv created 2000/04/14 · arxiv updated 2009/11/30
We 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.