纽结与整系数多项式

Knots and Polynomial with Integer Coefficients

通过利用纽结多项式的基本性质(例如:一些特殊价值的纽结多项式,即Arf变量和纽结多项式的微分)来讨论纽结和5次多项式之间的关系.我们证明了任意一个5次整系数的多项式都不能是纽结的Jones多项式.

In this paper, we deal with some corresponding relations between knots and polynomials with 5 degree by using the basic properties of knot polynomials （such as, some special values of knot polynomials, the Arf invariant and derivative of knot polynomials）. We give that a polynomial with 5 degree and integer coefficients is not the Jones polynomial of any knot.