CAJ | 학술논문

本文利用纽结的琼斯多项式和罗朗多项式的性质,研究了二者之间的关系.主要是利用纽结多项式的微分性质以及多项式在某些特殊点的值.给出了次数小于10罗朗多项式是某个纽结的琼斯多项式的必要条件.进而研究了纽结的Arf不变量的性质.
본문이용뉴결적경사다항식화라랑다항식적성질,연구료이자지간적관계.주요시이용뉴결다항식적미분성질이급다항식재모사특수점적치.급출료차수소우10라랑다항식시모개뉴결적경사다항식적필요조건.진이연구료뉴결적Arf불변량적성질.
In this paper,we deal with some relations between the Jones polynomial of knot and the Laurent polynomial by using their properties(such as,some special values of the Jones polynomial and derivative of knot polynomials).We give necessary conditions that a Laurent polynomial,with degree eight or nine,is the Jones polynomial of a certain knot.Furthermore,we give the properties of Arf invariant for knot.