RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2016 Volume 57, Number 3, Pages 688–696 (Mi smj2775)

This article is cited 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

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.

UDC: 515.162.3

Received: 10.11.2015

DOI: 10.17377/smzh.2016.57.317


 English version:
Siberian Mathematical Journal, 2016, 57:3, 542–548

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024