Email this article Tabulating knots in the thickened Klein bottle
- Authors: Matveev S.V.1,2, Nabeeva L.R.1
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Affiliations:
- Chelyabinsk State University
- Krasovskiĭ Institute of Mathematics and Mechanics
- Issue: Vol 57, No 3 (2016)
- Pages: 542-548
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170538
- DOI: https://doi.org/10.1134/S0037446616030174
- ID: 170538
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Abstract
We tabulate all knots in the oriented thickened Klein bottle having diagrams with three crossings and less. For proving that the knots are distinct, we use a generalization of the Kauffman bracket polynomial in four variables.
About the authors
S. V. Matveev
Chelyabinsk State University; Krasovskiĭ Institute of Mathematics and Mechanics
Author for correspondence.
Email: matveev@csu.ru
Russian Federation, Chelyabinsk; Ekaterinburg
L. R. Nabeeva
Chelyabinsk State University
Email: matveev@csu.ru
Russian Federation, Chelyabinsk
