Cabling the Vassiliev Invariants
q-alg
2008-02-03 v4 量子代数
摘要
We characterise the cabling operations on the weight systems of finite type knot invariants. The eigenvectors and eigenvalues of this family of operations are described over the cable eigenbasis. The action of immanent weight systems on general Feynman diagrams is considered, and the highest eigenvalue cabling eigenvectors are shown to be dual to the immanent weight systems. Using these results, we prove a recent conjecture of Bar-Natan and Garoufalidis on cablings of weight systems.
关键词
引用
@article{arxiv.q-alg/9511024,
title = {Cabling the Vassiliev Invariants},
author = {A. Kricker and B. Spence and I. Aitchison},
journal= {arXiv preprint arXiv:q-alg/9511024},
year = {2008}
}
备注
LaTeX2e, 31 pages. This version to appear in the Journal of Knot Theory and it's Ramifications