ON COMPUTING KAUFFMAN BRACKET POLYNOMIAL OF MONTESINOS LINKS

CORC > 厦门大学 > 数学科学－已发表论文

	ON COMPUTING KAUFFMAN BRACKET POLYNOMIAL OF MONTESINOS LINKS
	Jin, XA ; Zhang, FJ ; Jin XA(金贤安)
刊名	http://dx.doi.org/10.1142/S0218216510008297
	2010-08
关键词	JONES POLYNOMIALS SIGNED GRAPHS KNOTS ALGEBRA
英文摘要	NSFC [10831001]; It is well known that Jones polynomial (hence, Kauffman bracket polynomial) of links is, in general, hard to compute. By now, Jones polynomials or Kauffman bracket polynomials of many link families have been computed, see [4, 7-11]. In recent years, the computer algebra (Maple) techniques were used to calculate link polynomials for various link families, see [7, 12-14]. In this paper, we try to design a maple program to calculate the explicit expression of the Kauffman bracket polynomial of Montesinos links. We first introduce a family of "ring of tangles" links, which includes Montesinos links as a special subfamily. Then, we provide a closed-form formula of Kauffman bracket polynomial for a "ring of tangles" link in terms of Kauffman bracket polynomials of the numerators and denominators of the tangles building the link. Finally, using this formula and known results on rational links, the Maple program is designed.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66806]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Jin, XA,Zhang, FJ,Jin XA. ON COMPUTING KAUFFMAN BRACKET POLYNOMIAL OF MONTESINOS LINKS[J]. http://dx.doi.org/10.1142/S0218216510008297,2010.
APA	Jin, XA,Zhang, FJ,&金贤安.(2010).ON COMPUTING KAUFFMAN BRACKET POLYNOMIAL OF MONTESINOS LINKS.http://dx.doi.org/10.1142/S0218216510008297.
MLA	Jin, XA,et al."ON COMPUTING KAUFFMAN BRACKET POLYNOMIAL OF MONTESINOS LINKS".http://dx.doi.org/10.1142/S0218216510008297 (2010).