Stavros Garoufalidis.
Abstract: On the level of Lie algebras, the Kontsevich integral of a knot (a graph-valued invariant) becomes the colored Jones function (a power series invariant). Rozansky conjectured and the authors proved a Rationality Conjecture for the Kontsevich integral. In this note, we explain how the Rationality Conjecture is related to Lie groups.
Key words: Goussarov-Vassiliev ivariants, rationality, periodicity, colored Jones function.
Notes: 7 pages, 4 figures.