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Polynomial splittings of Casson–Gordon invariants

Published online by Cambridge University Press:  03 February 2005

SE-GOO KIM
SE-GOO KIM
Affiliation:
Department of Mathematics, University of California, Santa Barbara, CA 93106, U.S.A. e-mail: [email protected]
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Abstract

We prove that the Casson–Gordon invariants of the connected sum of two knots split when the Alexander polynomials of the knots are coprime. As one application, for any knot $K$, all but finitely many algebraically slice twisted doubles of $K$ are linearly independent in the knot concordance group.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 138 , Issue 1 , January 2005 , pp. 59 - 78
Copyright
2005 Cambridge Philosophical Society

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