Structure in the classical knot concordance group

Details Structure in the classical knot concordance group Structure in the classical knot concordance group

2002-06-06

arxiv.org/abs/math/0206059v1

Comment. Math. Helv. 79 (2004) 105-123

Mathematics

Geometric Topology

26 pages, 3 figures

Scientific paper

We provide new information about the structure of the abelian group of
topological concordance classes of knots in $S^3$. One consequence is that
there is a subgroup of infinite rank consisting entirely of knots with
vanishing Casson-Gordon invariants but whose non-triviality is detected by
$L^{(2)}$ signatures.

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