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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 3, Pages 688–696
DOI: https://doi.org/10.17377/smzh.2016.57.317 (Mi smj2775) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Tabulating knots in the thickened Klein bottle

S. V. Matveevab, L. R. Nabeevaa

a Chelyabinsk State University, Chelyabinsk, Russia
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
Full-text PDF (233 kB) Citations (11)
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DOI: https://doi.org/10.17377/smzh.2016.57.317
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.
Keywords: thickened Klein bottle, knot, generalized Kauffman polynomial.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Z50.31.0020
1.1260.2014/K
Russian Foundation for Basic Research 14-01-00441
The statement of the problem and the elaboration of solution methods were carried out at the Laboratory of Quantum Topology of Chelyabinsk State University (Grant 14.Z50.31.0020 of the Government of the Russian Federation). The second author composed the tables and computed the invariants under the financial support by the Russian Foundation for Basic Research (Grant 14-01-00441) and was supported by the Government of the Russian Federation (Grant 1.1260.2014/K).
Received: 10.11.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 3, Pages 542–548
DOI: https://doi.org/10.1134/S0037446616030174
Bibliographic databases:
Document Type: Article
UDC: 515.162.3
Language: Russian
Citation: S. V. Matveev, L. R. Nabeeva, “Tabulating knots in the thickened Klein bottle”, Sibirsk. Mat. Zh., 57:3 (2016), 688–696; Siberian Math. J., 57:3 (2016), 542–548
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
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    		Сибирский математический журнал Siberian Mathematical Journal
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