Skein Modules and the Noncommutative Torus
Quantum Algebra
2007-05-23 v1 Geometric Topology
Operator Algebras
Abstract
We show that the Kauffman bracket skein module of a cylinder over the torus embeds as a subalgebra of the noncommutative torus. Using this we derive nice formulas for the Jones-Wenzl idempotents and analyze the structure of the Kauffman bracket skein module of the unknot as a module over the Kauffman bracket skein module of a cylinder over the torus.
Cite
@article{arxiv.math/9806107,
title = {Skein Modules and the Noncommutative Torus},
author = {Charles Frohman and Razvan Gelca},
journal= {arXiv preprint arXiv:math/9806107},
year = {2007}
}
Comments
13 pages, 5 figures, Latex