The non-triviality of the grope filtrations of the knot and link concordance groups

Peter D. Horn

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We consider the Grope filtration of the classical knot concordance group that was introduced by Cochran, Orr and Teichner. Our main result is that each successive quotient in this filtration has infinite rank. We also establish the analogous result for the Grope filtration of the concordance group of string links consisting of more than one component.

Original languageEnglish (US)
Pages (from-to)751-773
Number of pages23
JournalCommentarii Mathematici Helvetici
Volume85
Issue number4
DOIs
StatePublished - Oct 12 2010

Keywords

  • Concordance
  • Grope filtration
  • Solvable filtration

ASJC Scopus subject areas

  • Mathematics(all)

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