Chebyshev polynomials and the Frohman-Gelca formula
Geometric Topology
2014-03-18 v1
Abstract
Using Chebyshev polynomials, C. Frohman and R. Gelca introduce a basis of the Kauffman bracket skein module of the torus. This basis is especially useful because the Jones-Kauffman product can be described via a very simple Product-to-Sum formula. Presented in this work is a diagrammatic proof of this formula, which emphasizes and demystifies the role played by Chebyshev polynomials.
Keywords
Cite
@article{arxiv.1403.3716,
title = {Chebyshev polynomials and the Frohman-Gelca formula},
author = {Hoel Queffelec and Heather M. Russell},
journal= {arXiv preprint arXiv:1403.3716},
year = {2014}
}
Comments
13 pages