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
相关论文
共 50 条
  • [1] On virtual pathwidth of virtual graphs of a virtual link
    Khan, Noureen A.
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2019, 223 (02) : 504 - 514
  • [2] New presentations of a link and virtual link
    Wan, Liangxia
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2019, 28 (08)
  • [3] Virtual link groups
    V. G. Bardakov
    Yu. A. Mikhalchishina
    M. V. Neshchadim
    Siberian Mathematical Journal, 2017, 58 : 765 - 777
  • [4] Virtual link groups
    Bardakov, V. G.
    Mikhalchishina, Yu. A.
    Neshchadim, M. V.
    SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (05) : 765 - 777
  • [5] Virtual-Link Representation for Link Prediction
    Yao, Can
    Huang, Hai
    Ma, Longxuan
    Yang, Ze
    Zhang, Lei
    2019 IEEE INTERNATIONAL CONFERENCE ON BIG DATA (BIG DATA), 2019, : 2965 - 2974
  • [6] A VIRTUAL LINK POLYNOMIAL AND THE VIRTUAL CROSSING NUMBER
    Miyazawa, Yasuyuki
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2009, 18 (05) : 605 - 623
  • [7] On a Quasitoric Virtual Braid Presentation of a Virtual Link
    Bae, Yongju
    Seo, Seogman
    KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (01): : 191 - 203
  • [8] On minimal virtual link diagrams
    D. M. Afanasiev
    V. O. Manturov
    Doklady Mathematics, 2009, 79 : 301 - 304
  • [9] On minimal virtual link diagrams
    Afanasiev, D. M.
    Manturov, V. O.
    DOKLADY MATHEMATICS, 2009, 79 (03) : 301 - 304
  • [10] What missing link?
    Prothero, Donald
    NEW SCIENTIST, 2008, 197 (2645) : 35 - 41