颠倒分支定向的链环的Jones多项式

Jones polynomials of links with the orientations of some components reversed

Lickorish和Millett曾经给出了颠倒一个分支定向前后的链环的Jones多项式之间的关系式,利用纽结的state来定义Jones多项式,现重新给出一个非常简单的证明,并将结论作了推广。

Lickorish and Millett had given a relation between the Jones polynomial of an oriented link and the Jones polynomial of the same link with the orientation of one component reversed.Using the states of a knot to define its Jones polynomial,the author gives a very simple new proof and extends their result.