A computation of the Kontsevich integral of torus knots
Geometric Topology
2014-10-01 v2
Abstract
We study the rational Kontsevich integral of torus knots. We construct explicitely a series of diagrams made of circles joined together in a tree-like fashion and colored by some special rational functions. We show that this series codes exactly the unwheeled rational Kontsevich integral of torus knots, and that it behaves very simply under branched coverings. Our proof is combinatorial. It uses the results of Wheels and Wheeling and various spaces of diagrams.
Cite
@article{arxiv.math/0404264,
title = {A computation of the Kontsevich integral of torus knots},
author = {Julien Marche},
journal= {arXiv preprint arXiv:math/0404264},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-51.abs.html