Polynomial splittings of Casson-Gordon invariants

Details Polynomial splittings of Casson-Gordon invariants Polynomial splittings of Casson-Gordon invariants

2001-02-15

arxiv.org/abs/math/0102112v2

Mathematics

Geometric Topology

20 pages, 3 figures; two correct partial forms of Gilmer's theorem included, notational and technical changes made, new Sectio

Scientific paper

In this paper 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.

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