Mathematical Proceedings of the Cambridge Philosophical Society

Polynomial splittings of Casson–Gordon invariants

a1 Department of Mathematics, University of California, Santa Barbara, CA 93106, U.S.A. e-mail:

Article author query
kim s   [Google Scholar] 


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.

(Received September 16 2003)
(Revised October 28 2003)