The Kauffman Skein Algebra of the Torus-Reference-Cited by-同舟云学术

The Kauffman Skein Algebra of the Torus

Published:2022-03-14 Issue:1 Volume:2023 Page:855-900
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Morton Hugh¹,Pokorny Alex²,Samuelson Peter²

Affiliation:

1. Department of Mathematical Sciences , University of Liverpool, Peach Street, Liverpool L69 7ZL, UK

2. Department of Mathematics , University of California, Riverside, CA 92521, USA

Abstract

Abstract We give a presentation of the Kauffman (BMW) skein algebra of the torus. This algebra is the “type $BCD$” analogue of the Homflypt skein algebra of torus, which was computed in earlier work of the 1st and 3rd authors [17]. This suggests the existence of a “type $BCD$” version of the Hall algebra of an elliptic curve [4]. 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 [12].

Funder

Simons travel grant

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/1/855/48523646/rnac025.pdf

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