Structure in the classical knot concordance group

Structure in the classical knot concordance group

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 von Neum...

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Veröffentlicht in:Commentarii mathematici Helvetici 2004-01, Vol.79 (1), p.105-123
Hauptverfasser: Cochran, Tim, Orr, Kent, Teichner, Peter
Format: Artikel
Sprache:eng
Schlagworte:
Manifolds and cell complexes
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Zusammenfassung: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 von Neumann signatures.
ISSN:0010-2571
1420-8946
DOI:10.1007/s00014-001-0793-6