JournalscmhVol. 79, No. 1pp. 105–123

Structure in the classical knot concordance group

  • Tim D. Cochran

    Rice University, Houston, USA

  • Kent E. Orr

    Indiana University, Bloomington, USA

  • Peter Teichner

    University of California, Berkeley, USA
Structure in the classical knot concordance group cover
Download PDF

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