THE JONES AND ALEXANDER POLYNOMIALS FOR SINGULAR LINKS

被引：10

作者：

Fiedler, Thomas ^{[1
]}

机构：

[1] Univ Toulouse 3, Inst Math Toulouse, F-31062 Toulouse 09, France

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2010年 / 19卷 / 07期

关键词：

Classical and singular links; knot polynomials; state models;

D O I：

10.1142/S0218216510008236

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the Kauffman state models of the Jones and Alexander polynomials of classical links to state models of their two-variable extensions in the case of singular links. Moreover, we extend both of them to polynomials with d + 1 variables for long singular knots with exactly d double points. These extensions can detect non-invertibility of long singular knots.

引用

页码：859 / 866

页数：8

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