Two applications of elementary knot theory to Lie algebras and Vassiliev invariants
Two applications of elementary knot theory to Lie algebras and Vassiliev invariants
Using elementary equalities between various cables of the unknot and the Hopf link, we prove the Wheels and Wheeling conjectures of [5,9], which give, respectively, the exact Kontsevich integral of the unknot and a map intertwining two natural products on a space of diagrams.It turns out that the Wheeling map …