TITLE:
A Recursive Approach to the Kauffman Bracket
AUTHORS:
Abdul Rauf Nizami, Mobeen Munir, Umer Saleem, Ansa Ramzan
KEYWORDS:
Recursive Relation, Kauffman Bracket, Braid Link
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.17,
October
23,
2014
ABSTRACT: We introduce a simple recursive relation and give an explicit formula of the Kauffman bracket of two-strand braid link . Then, we give general formulas of the bracket of the sequence of links of three-strand braids . Finally, we give an interesting result that the Kauffman bracket of the three-strand braid link is actually the product of the brackets of the two-strand braid links and . Moreover, a recursive relation for is also given.