Chebyshev polynomials and the Frohman-Gelca formula

Hoel Queffelec; Heather M. Russell

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arXiv · 1403.3716

Chebyshev polynomials and the Frohman-Gelca formula

Hoel Queffelec·Heather M. Russell

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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.

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BibTeX RIS

Hoel Queffelec, Heather M. Russell. 2014-03-14. Chebyshev polynomials and the Frohman-Gelca formula. https://arxiv.org/abs/1403.3716

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