The Links-Gould polynomial as a generalization of the Alexander-Conway polynomial

被引:7
|
作者
Ishii, Atsushi [1 ]
机构
[1] Osaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan
关键词
Links-Gould link invariant; Alexander-Conway polynomial; quantum superalgebra;
D O I
10.2140/pjm.2006.225.273
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that the Alexander - Conway polynomial is recoverable from the Links - Gould (LG) polynomial via a certain reduction, and hence that the LG polynomial is a generalization of the Alexander - Conway polynomial. Furthermore, the LG polynomial inherits some properties of the Alexander Conway polynomial. For example, the LG polynomial is a Laurent polynomial in a particular pair of symmetric variables, and this is related to a symmetry of the Alexander - Conway polynomial.
引用
收藏
页码:273 / 285
页数:13
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