What is a virtual link?

被引:147
|
作者
Kuperberg, Greg [1 ]
机构
[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
来源
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2003年 / 3卷 / 01期
基金
美国国家科学基金会;
关键词
Virtual link; tetravalent graph; stable equivalence;
D O I
10.2140/agt.2003.3.587
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Several authors have recently studied virtual knots and links because they admit invariants arising from R-matrices. We prove that every virtual link is uniquely represented by a link L subset of S x I in a thickened, compact, oriented surface S such that the link complement (S x I) \ L has no essential vertical cylinder.
引用
收藏
页码:587 / 591
页数:5
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