Examples of knots with the same polynomials

被引：5

作者：

Luse, Kerry ^{[1
]}

Rong, Yongwu ^{[1
]}

机构：

[1] George Washington Univ, Dept Math, Washington, DC 20052 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2006年 / 15卷 / 06期

关键词：

knots; Jones polynomial; Alexander modules;

D O I：

10.1142/S0218216506004725

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work is motivated by the question of whether the Jones polynomial can detect knottedness. Following the previous works of Eliahou-Kauffman-Thistlethwaite, Kanenobu, and Watson, we construct specific new examples of knots which cannot be distinguished by the Jones polynomial.

引用

页码：749 / 759

页数：11

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