A Recursive Approach to the Kauffman Bracket  

A Recursive Approach to the Kauffman Bracket

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作  者:Abdul Rauf Nizami Mobeen Munir Umer Saleem Ansa Ramzan 

机构地区:[1]Division of Science and Technology, University of Education, Lahore, Pakistan

出  处:《Applied Mathematics》2014年第17期2746-2755,共10页应用数学(英文)

摘  要: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.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.

关 键 词:RECURSIVE RELATION Kauffman BRACKET BRAID LINK 

分 类 号:O1[理学—数学]

 

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