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ON THE ALEXANDER POLYNOMIAL OF PERIODIC LINKS

YONGJU BAE

Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 702-701, Korea

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and

IN SOOK LEE

Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 702-701, Korea

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https://doi.org/10.1142/S0218216511008942Cited by:2 (Source: Crossref)

Abstract

In this paper, we express the Seifert matrix of a periodic link which is presented as the closure of a 4-tangle with some extra restrictions, in terms of the Seifert matrix of the quotient link. As a result, we give formulae for the Alexander polynomial and the determinant of such a periodic link.

Keywords:

AMSC: 57M25

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