纽结理论中的Alexander多项式

ALEXANDER POLYNOMIAL IN KNOT THEORY

本文阐述了Alexander多项式关于纽结与其全体状态之内积的表达式,证明了纽结余部赋以模结构而给出的表示矩阵的行列式即为Alexander多项式,并给出由自由群环上的自由导数求出Alexander多项式的方法。

In this paper,We proved that Alexander Polynomial defined in [1] is the special case of Alexander-Con way polynomial defined in [2] which is gave by L. H. Kauffman. and proved that when we give A -module structure for 1- homology of a complement of knot,then presentation matrix of the A -module is also Alexander polynomial.