Linking polynomials of virtual string links

被引：2
|
作者：
Xu, Mengjian [1 ]
Gao, Hongzhu [1 ,2 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2018年 / 61卷 / 07期
基金：
中国国家自然科学基金;
关键词：
virtual knot; virtual string link; link polynomial; Gauss diagram;
D O I：
10.1007/s11425-016-9053-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define two polynomial invariants for virtual string links. One can be defined only on 2-component virtual string links. The other is defined on virtual string links with arbitrary components. Both invariants can distinguish virtual string links from their mirror images. In addition, we also show that these two invariants are link homotopic invariants. In the end, we give some interesting examples to show that the two invariants are different.
引用
收藏
页码：1287 / 1302
页数：16
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