Affiliation:
1. Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu 702–701, Korea
Abstract
In this paper, we study lens knots and periodic knots by using integral Vassiliev invariants. Knot polynomials such as the Jones, HOMFLY, Kauffman polynomials give infinitely many integral Vassiliev invariants and we get some necessary conditions for a link to be a lens knot or a periodic link by using these polynomial invariants.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
3 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. THE QUANTUM sl(n, ℂ) REPRESENTATION THEORY AND ITS APPLICATIONS;Journal of the Korean Mathematical Society;2012-09-01
2. PERIODIC VIRTUAL LINKS AND THE BINARY BRACKET POLYNOMIAL;Journal of Knot Theory and Its Ramifications;2012-03
3. ON THE ALEXANDER POLYNOMIAL OF PERIODIC LINKS;Journal of Knot Theory and Its Ramifications;2011-05