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Polynomial splittings of Casson–Gordon invariants

Published online by Cambridge University Press:  03 February 2005

SE-GOO KIM
Affiliation:
Department of Mathematics, University of California, Santa Barbara, CA 93106, U.S.A. e-mail: sekim@math.ucsb.edu

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
Copyright
2005 Cambridge Philosophical Society

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