Structure in the classical knot concordance group
Tim D. Cochran
Rice University, Houston, USAKent E. Orr
Indiana University, Bloomington, USAPeter Teichner
University of California, Berkeley, USA
Abstract
We provide new information about the structure of the abelian group of topological concordance classes of knots in . 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.
Cite this article
Tim D. Cochran, Kent E. Orr, Peter Teichner, Structure in the classical knot concordance group. Comment. Math. Helv. 79 (2004), no. 1, pp. 105–123
DOI 10.1007/S00014-001-0793-6