Alexander groups and virtual links

被引：52

作者：

Silver, DS ^{[1
]}

Williams, SG ^{[1
]}

机构：

[1] Univ S Alabama, Dept Math & Stat, Mobile, AL 36688 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2001年 / 10卷 / 01期

关键词：

virtual knot; Alexander group;

D O I：

10.1142/S0218216501000792

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The extended Alexander group of an oriented virtual link l of d components is defined. From its abelianization a sequence of polynomial invariants Delta (i)(u(1),...,u(d),v), i = 0, 1,..., is obtained . When l is a classical link, Delta (i) reduces to the well-known ith Alexander polynomial of the link in the d variables u(1)v,...,u(d)v; in particular, Delta (0) vanishes.

引用

页码：151 / 160

页数：10

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