Mathematical Proceedings of the Cambridge Philosophical Society



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


JAE CHOON CHA a1 and KI HYOUNG KO a1
a1 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.

(Received July 24 1997)
(Revised September 14 1998)