Kulish, P. P.; Nikitin, A. M. Invariants of \(B\)-type links via an extension of the Kauffman bracket. (English. English summary) Zbl 1023.57010 Zap. Nauchn. Semin. POMI 266, Pt. II, 107-130 (2000). The well-known definition of the Kauffman bracket for links in the 3-sphere [L. H. Kauffman and S. L. Lins, Temperley-Lieb recoupling theory and invariants of 3-manifolds, Ann. Math. Stud. 134, Princeton University Press (1994; Zbl 0821.57003)] is extended to links in the solid torus (or \(B\)-type links). Then the extended Kauffman bracket is used to construct solid torus link invariants. These invariants are shown to satisfy the skein relations. Reviewer: E.S.Golod (Moskva) Cited in 1 Document MSC: 57M27 Invariants of knots and \(3\)-manifolds (MSC2010) Keywords:Kauffman bracket Citations:Zbl 0821.57003 PDFBibTeX XMLCite \textit{P. P. Kulish} and \textit{A. M. Nikitin}, Zap. Nauchn. Semin. POMI 266, Part II, 107--130 (2000; Zbl 1023.57010) Full Text: EuDML