Matveev, S. V.; Nabeeva, Liya R. Tabulating knots in the thickened Klein bottle. (English. Russian original) Zbl 1348.57013 Sib. Math. J. 57, No. 3, 542-548 (2016); translation from Sib. Mat. Zh. 57, No. 3, 688-696 (2016). Summary: 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. Cited in 1 ReviewCited in 7 Documents MSC: 57M25 Knots and links in the \(3\)-sphere (MSC2010) Keywords:thickened Klein bottle; knot; generalized Kauffman polynomial PDFBibTeX XMLCite \textit{S. V. Matveev} and \textit{L. R. Nabeeva}, Sib. Math. J. 57, No. 3, 542--548 (2016; Zbl 1348.57013); translation from Sib. Mat. Zh. 57, No. 3, 688--696 (2016) Full Text: DOI References: [1] Kauffman L. H., “State models and the Jones polynomial,” Topology, 26, No. 3, 395-407 (1987). · Zbl 0622.57004 · doi:10.1016/0040-9383(87)90009-7 [2] Drobotukhina Yu. V., “Classification of links in RP3 with at most 6 crossings,” Zap. Nauchn. Sem. LOMI, 193, 39-63 (1991). · Zbl 0747.57004 [3] Akimova A. A. and Matveev S. V., “Classification of low complexity knots in the thickened torus,” Vestnik NGU Ser. Mat. Mekh. Informat., 12, No. 3, 10-21 (2012). · Zbl 1289.57002 [4] Gabrovsek B. and Mroczkowski M., “Knots in the solid torus up to 6 crossings,” J. Knot Theory Ramifications, 21, No. 11, 43 (2012). · Zbl 1278.57006 · doi:10.1142/S0218216512501064 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.