Ribbon concordance and a partial order on S-equivalence classes
type: Item
instance of: scholarly article
title: Ribbon concordance and a partial order on S-equivalence classes
zbMATH Open document ID: 0568.57005
DOI: 10.1016/0166-8641(84)90016-6
author: Patrick M. Gilmer
published in: Topology and its Applications
publication date: 1984-01-01T00:00:00Z
review text: Two classical knots are said to be S-equivalent if a Seifert matrix of one is S-equivalent to a Seifert matrix of the other. Another way of stating this is that the Blanchfield pairings are isometric. The author defines a partial order on the set of S-equivalence classes, in terms of the Seifert matrices, and the corresponding partial order on the set of Blanchfield pairings. He then relates these partial orderings to the concepts of ribbon concordance and cobordism, and identifies the minimal elements as the anisotropic forms.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57Q45
zbMATH DE Number: 3907377
zbMATH Keywords: classical knots
zbMATH Keywords: S-equivalent
zbMATH Keywords: Seifert matrix
zbMATH Keywords: Blanchfield pairings
zbMATH Keywords: ribbon concordance
zbMATH Keywords: cobordism
zbMATH Keywords: anisotropic forms
reviewed by: C. Kearton
MaRDI profile type: Publication
full work available at URL: 0166-8641(84)90016-6
OpenAlex ID: W2074292406
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cites work: On S-equivalence of Seifert matrices
description: scientific article; zbMATH DE number 3907377