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LENS KNOTS, PERIODIC LINKS AND VASSILIEV INVARIANTS

MYEONG-JU JEONG

Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu 702–701, Korea

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and

CHAN-YOUNG PARK

Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu 702–701, Korea

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https://doi.org/10.1142/S0218216504003615Cited by:3 (Source: Crossref)

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.

Keywords:

AMSC: 57M25, 57M27

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