First common terms of the HOMFLY and Kauffman polynomials, and the Conway polynomial of a knot

被引：7

作者：

Fujii, H ^{[1
]}

机构：

[1] Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1999年 / 8卷 / 04期

关键词：

gamma-polynomial; Conway polynomial; HOMFLY polynomial; Kauffman polynomial; Vassiliev (finite type) invariant; 2-bridge knot;

D O I：

10.1142/S0218216599000316

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the first common terms of the HOMFLY and Kauffman polynomials of a knot, which we call the Y-polynomial, and the Conway polynomial for the a-bridge knots and a class of 3-bridge knots. We characterize the Y-polynomial using the 2-bridge knots. Then we give some relations between the two polynomial invariants, and as an application, we consider the space of the Vassiliev invariant of order four.

引用

页码：447 / 462

页数：16