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Signature invariants of links from irregular covers and non-abelian covers

Published online by Cambridge University Press:  01 July 1999

JAE CHOON CHA
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, Taejon, 305–701, Korea; e-mail: jccha@knot.kaist.ac.kr, e-mail: knot@knot.kaist.ac.kr
KI HYOUNG KO
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, Taejon, 305–701, Korea; e-mail: jccha@knot.kaist.ac.kr, e-mail: knot@knot.kaist.ac.kr

Abstract

Signature invariants of odd dimensional links from irregular covers and non-abelian covers of complements are obtained by using the technique of Casson and Gordon. We show that the invariants vanish for slice links and can be considered as invariants under Fm-link concordance. We illustrate examples of links that are not slice but behave as slice links for any invariants from abelian covers.

Type
Research Article
Copyright
The Cambridge Philosophical Society 1999

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