Structure in the classical knot concordance group

  • Kent E. Orr

    Indiana University, Bloomington, USA
  • Tim D. Cochran

    Rice University, Houston, USA
  • Peter Teichner

    University of California, Berkeley, USA


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

Kent E. Orr, Tim D. Cochran, 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