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Invariants of \(B\)-type links via an extension of the Kauffman bracket. (English. English summary) Zbl 1023.57010

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)

MSC:

57M27 Invariants of knots and \(3\)-manifolds (MSC2010)

Citations:

Zbl 0821.57003
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