Surgery on a single clasper and the 2-loop part of the Kontsevich integral
Geometric Topology
2007-05-23 v1
Abstract
We study the 2-loop part of the rational Kontsevich integral of a knot in an integer homology sphere. We give a general formula which explains how the 2-loop part of the Kontsevich integral of a knot changes after surgery on a single clasper whose leaves are not linked to the knot. As an application, we relate this formula with a conjecture of L. Rozansky about integrality of the 2-loop polynomial of a knot.
Keywords
Cite
@article{arxiv.math/0410272,
title = {Surgery on a single clasper and the 2-loop part of the Kontsevich integral},
author = {Julien Marche},
journal= {arXiv preprint arXiv:math/0410272},
year = {2007}
}
Comments
15 pages, 9 figures