ON THE INDEX AND ARROW POLYNOMIALS OF PERIDOIC VIRTUAL LINKS

Author:

IM YOUNG HO1,LEE SANG YOUL1

Affiliation:

1. Department of Mathematics, Pusan National University, Busan 609-735, Korea

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Reference15 articles.

1. Lower Bounds on Virtual Crossing Number and Minimal Surface Genus

2. VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL

3. Least area Seifert surfaces and periodic knots

4. Infinitely Periodic Knots

5. R. H. Fox, Topology of 3-Manifolds, ed. M. K. Fort (Prentice-Hall, Englewood Cliffs, NJ, 1962) pp. 177–182.

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Some congruence of the generalized Alexander invariant for periodic virtual links;Journal of Knot Theory and Its Ramifications;2022-11-10

2. Alexander invariants of periodic virtual knots;Dissertationes Mathematicae;2018

3. Polynomial invariants of flat virtual links using invariants of virtual links;Journal of Knot Theory and Its Ramifications;2015-05

4. On the virtual Alexander polynomial of periodic virtual knots;Journal of Knot Theory and Its Ramifications;2014-06

5. ON THE VA-POLYNOMIAL OF PERIODIC VIRTUAL KNOTS;Journal of Knot Theory and Its Ramifications;2013-04

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3