The Non-triviality of the Grope Filtrations of The Knot and Link Concordance Groups

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We consider the Grope filtration of the classical knot concordance group that was introduced in a paper of Cochran, Orr and Teichner. Our main result is that successive quotients at each stage in this filtration have 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.
16 pages, 14 figures

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Geometric Topology, Algebraic Topology, 57M25; 57M10

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http://salesiana.dossiersoluciones.com/handle/123456789/158976

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.2661
 http://arxiv.org/abs/0804.2661

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arXiv