The skein algebra of the Borromean rings complement-Reference-Cited by-同舟云学术

The skein algebra of the Borromean rings complement

Published:2022-07 Issue:08 Volume:33 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Miura Go¹,Suzuki Sakie²^ORCID

Affiliation:

1. Brains Technology Inc., Tokyo 108-0074, Japan

2. Department of Mathematical and Computing Science, School of Computing, Tokyo Institute of Technology, Tokyo 152-8550, Japan

Abstract

The skein algebra of an oriented three-manifold is a classical limit of the Kauffman bracket skein module and gives the coordinate ring of the [Formula: see text]-character variety. In this paper, we determine the quotient of a polynomial ring which is isomorphic to the skein algebra of a group with three generators and two relators. As an application, we give an explicit formula for the skein algebra of the Borromean rings complement in [Formula: see text].

Funder

Japan Society for the Promotion of Science

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X22500495

Reference17 articles.

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2. Rings of SL 2 ( $\Bbb{C}$ )-characters and the Kauffman bracket skein module

3. The Kauffman bracket skein module of a twist knot exterior

4. Varieties of Group Representations and Splittings of 3-Manifolds

5. The A-polynomial from the noncommutative viewpoint

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