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.
引用
收藏
页数：21
相关论文
共 50 条
  • [21] Recurrent Generalization of F-Polynomials for Virtual Knots and Links
    Gill, Amrendra
    Ivanov, Maxim
    Prabhakar, Madeti
    Vesnin, Andrei
    SYMMETRY-BASEL, 2022, 14 (01):
  • [22] Twist moves and the affine index polynomials of virtual knots
    Jeong, Myeong-Ju
    Choi, Younhee
    Kim, Dojin
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2022, 31 (07)
  • [23] Span of the Jones polynomials of certain v-adequate virtual links
    Okamura, Minori
    Sakai, Keiichi
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2021, 30 (01)
  • [24] A NOTE ON THE CROSSING NUMBER AND THE BRAID INDEX FOR VIRTUAL LINKS
    Takeda, Yasushi
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2010, 19 (07) : 867 - 880
  • [25] POLYNOMIALS FOR LINKS
    LICKORISH, WBR
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1988, 20 : 558 - 588
  • [26] An index of an enhanced state of a virtual link diagram and Miyazawa polynomials
    Kamada, Naoko
    HIROSHIMA MATHEMATICAL JOURNAL, 2007, 37 (03) : 409 - 429
  • [27] Arrow calculus for welded and classical links
    Meilhan, Jean-Baptiste
    Yasuhara, Akira
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2019, 19 (01): : 397 - 456
  • [28] ON THE POLYNOMIALS OF PERIODIC LINKS
    SAKUMA, M
    MATHEMATISCHE ANNALEN, 1981, 257 (04) : 487 - 494
  • [29] State sum invariants for flat virtual links from the chord index
    Lee, Kyeonghui
    Im, Young Ho
    Kim, Sera
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2020, 29 (05)
  • [30] High index contrast semiconductor ARROW and hybrid ARROW fibers
    Healy, N.
    Sparks, J. R.
    He, R. R.
    Sazio, P. J. A.
    Badding, J. V.
    Peacock, A. C.
    OPTICS EXPRESS, 2011, 19 (11): : 10979 - 10985
12345