Abstract
Kauffman Bracket of 2- and 3-Strand Braid Links
Highlights
The Kauffman bracket was introduced by L
The Kauffman bracket is not a knot invariant because it is not invariant under the first Reidemeister move. It has many applications and it can be extended to the popular Jones polynomial, which is invariant under all three Reidemeister moves
In the present work we shall confine ourselves to the Kauffman bracket to avoid from unnecessary length and to leave it for applications
Summary
The Kauffman bracket was introduced by L. [2] Nizami et al, computed Khavanov Homology of Braid Links and in [3] gave recursive form of Kauffman Bracket. This paper is organized as follows: In Section 2 we shall give the basic ideas about knots, braids, and the Kauffman bracket. The closure of a braid b is the link b obtained by connecting the lower ends of b with the corresponding upper ends.
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