Kauffman Bracket of 2- and 3-Strand Braid Links

In this paper we give explicit formulas of the Kauffman bracket of the 2-strand braid link ˆ x n 1 and the 3-strand braid link ˆ x b 1 x m 2 . We also show that the Kauffman bracket of the 3-strand braid link ˆ x b 1 x m 2 is actually the product of the Kauffman brackets of the 2-strand braid links ˆ x b 1 and ˆ x m 1 .