The Kauffman Skein Algebra of the Torus



Morton, Hugh ORCID: 0000-0002-8524-2695, Pokorny, Alex and Samuelson, Peter
(2023) The Kauffman Skein Algebra of the Torus. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023 (1). pp. 855-900.

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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].

Item Type: Article
Additional Information: Preliminary version, comments welcome! 24 pages, several figures. v2: minor corrections, added 3 figures
Uncontrolled Keywords: math.QA, math.QA, math.RT
Depositing User: Symplectic Admin
Date Deposited: 02 Dec 2019 08:28
Last Modified: 24 Jan 2023 22:18
DOI: 10.1093/imrn/rnac025
Open Access URL: https://arxiv.org/pdf/1909.11208.pdf
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3064351