On Kontsevich integral of torus knots
Geometric Topology
2007-05-23 v3
Abstract
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.
Cite
@article{arxiv.math/0310111,
title = {On Kontsevich integral of torus knots},
author = {Julien Marche},
journal= {arXiv preprint arXiv:math/0310111},
year = {2007}
}
Comments
10 pages, 4 figures