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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2020 Volume 17, Pages 1680–1696 (Mi semr1307)

Geometry and topology

Classification of links in the thickened Klein bottle

L. R. Nabeeva

Chelyabinsk State University, 129, Bratiev Kashirinykh str., Chelyabinsk, 454001, Russia

Abstract: In paper there is a full table of essential non-split links in the thickened Klein bottle, which diagrams have at most 3 crossings. Link diagrams have two or three components. A generalized version of the Kauffman polynomial ia used to prove that all these links are different.

Keywords: thickened Klein bottle, link, link diagram, generalized Kauffman polynomial.

UDC: 515.162.3

MSC: 57M27

Received November 4, 2018, published October 21, 2020

DOI: 10.33048/semi.2020.17.113



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© Steklov Math. Inst. of RAS, 2024