The Alexander polynomial for virtual twist knots

被引：0

作者：

Benioff, Isaac ^{[1
]}

Balke, Mellor ^{[2
]}

机构：

[1] Williams Coll, Dept Math & Stat, Williamstown, MA 01267 USA

[2] Loyola Marymount Univ, Dept Math, Los Angeles, CA 90045 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2017年 / 26卷 / 01期

关键词：

Virtual knots; Alexander polynomial; twist knots;

D O I：

10.1142/S0218216517500079

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a family of virtual knots generalizing the classical twist knots. We develop a recursive formula for the Alexander polynomial Delta(0) (as defined by Silver and Williams [Polynomial invariants of virtual links, J. Knot Theory Ramifications 12 (2003) 9871000]) of these virtual twist knots. These results are applied to provide evidence for a conjecture that the odd writhe of a virtual knot can be obtained from Delta(0).

引用

页数：32