dorsal/arxiv
View SchemaCabling the Vassiliev Invariants
| Authors | A. Kricker, B. Spence, I. Aitchison |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9511024 |
| URL | https://arxiv.org/abs/q-alg/9511024 |
Abstract
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.
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"abstract": "We characterise the cabling operations on the weight systems of finite type\nknot invariants. The eigenvectors and eigenvalues of this family of operations\nare described over the cable eigenbasis. The action of immanent weight systems\non general Feynman diagrams is considered, and the highest eigenvalue cabling\neigenvectors are shown to be dual to the immanent weight systems. Using these\nresults, we prove a recent conjecture of Bar-Natan and Garoufalidis on cablings\nof weight systems.",
"arxiv_id": "q-alg/9511024",
"authors": [
"A. Kricker",
"B. Spence",
"I. Aitchison"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Cabling the Vassiliev Invariants",
"url": "https://arxiv.org/abs/q-alg/9511024"
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