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arXiv · 1908.05775

Lower and Upper Bounds for Positive Bases of Skein Algebras

Thang T. Q. Lê·Dylan P. Thurston·Tao Yu
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Abstract

We show that the if a sequence of normalized polynomials gives rise to a positive basis of the skein algebra of a surface, then it is sandwiched between the two types of Chebyshev polynomials. For the closed torus, we show that the normalized sequence of Chebyshev polynomials of type one $(\hat{T}_n)$ is the only one which gives a positive basis.

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Thang T. Q. Lê, Dylan P. Thurston, Tao Yu. 2019-08-15. Lower and Upper Bounds for Positive Bases of Skein Algebras. https://arxiv.org/abs/1908.05775

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