“Kauffman Polynomial F”的概念、定义、习题解题方法及翻译-数学辞典

单词

Kauffman Polynomial F

释义

Kauffman Polynomial F

A semi-oriented 2-variable Knot Polynomial defined by

(1)

where

is an oriented Link Diagram,

is the Writhe of

is the unoriented diagramcorresponding to

, and

is the Bracket Polynomial. It was developed by Kauffman by extending the BLM/Ho Polynomial

to two variables, and satisfies

(2)

The Kauffman Polynomial is a generalization of the Jones Polynomial

since it satisfies

(3)

but its relationship to the HOMFLY Polynomial is not well understood. In general, it has more terms than theHOMFLY Polynomial, and is therefore more powerful for discriminating Knots. It is a semi-orientedPolynomial because changing the orientation only changes