The Kauffman skein algebra of the torus
Quantum Algebra
2020-09-07 v2 Representation Theory
Abstract
We give a presentation of the Kauffman (BMW) skein algebra of the torus, which is the "type BCD" analogue of the Homflypt skein algebra of torus which was computed by the first and third authors. In the appendix we show this presentation is compatible with the Frohman-Gelca description of the Kauffman bracket (Temperley-Lieb) skein algebra of the torus [FG00].
Keywords
Cite
@article{arxiv.1909.11208,
title = {The Kauffman skein algebra of the torus},
author = {Hugh Morton and Alexander Pokorny and Peter Samuelson},
journal= {arXiv preprint arXiv:1909.11208},
year = {2020}
}
Comments
Preliminary version, comments welcome! 24 pages, several figures. v2: minor corrections, added 3 figures