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.
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页码：447 / 462
页数：16
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