Julien Marche
Published 2003-10-08, updated 2003-12-09Version 3
We study the unwheeled rational Kontsevich integral of torus knots. We give a precise formula for these invariants up to loop degree 3 and show that they appear as colorings of simple diagrams. We show that they behave under cyclic branched coverings in a very simple way. Our proof is combinatorial: it uses the results of Wheels and Wheelings and new decorations of diagrams.
Comments: 10 pages, 4 figures
A computation of the Kontsevich integral of torus knots
On the colored Jones polynomials of certain cable of the torus knots
Polynomial Invariants of Torus Knots and (p,q)-Calculus
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