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

Peter D. Horn

doi:10.4171/CMH/210

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

Peter D. Horn

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 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 language	English (US)
Pages (from-to)	751-773
Number of pages	23
Journal	Commentarii Mathematici Helvetici
Volume	85
Issue number	4
DOIs	https://doi.org/10.4171/CMH/210
State	Published - 2010

Keywords

Concordance
Grope filtration
Solvable filtration

ASJC Scopus subject areas

General Mathematics

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10.4171/CMH/210

Cite this

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KW - Solvable filtration

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

Abstract

Keywords

ASJC Scopus subject areas

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