Lower and Upper Bounds for Positive Bases of Skein Algebras
Geometric Topology
2019-08-19 v1
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 is the only one which gives a positive basis.
Cite
@article{arxiv.1908.05775,
title = {Lower and Upper Bounds for Positive Bases of Skein Algebras},
author = {Thang T. Q. Lê and Dylan P. Thurston and Tao Yu},
journal= {arXiv preprint arXiv:1908.05775},
year = {2019}
}
Comments
12 pages, 5 figures