ON THE INDEX AND ARROW POLYNOMIALS OF PERIDOIC VIRTUAL LINKS

被引：5
|
作者：
Im, Young Ho [1 ]
Lee, Sang Youl [1 ]
机构：
[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2012年 / 21卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
Virtual knot; virtual link; arrow polynomial; index polynomial; periodic virtual link;
D O I：
10.1142/S0218216512500587
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the behaviors of the index polynomial and the arrow polynomial for periodic virtual links. As applications, we give necessary conditions for a given virtual link to have period n in terms of those polynomials, which can be used to estimate the possible periods for a given virtual link with non-trivial index polynomial or non-trivial arrow polynomial.
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页数：21
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