Ribbon plumbing and the problem of Gauss words
type: Item
instance of: scholarly article
title: Ribbon plumbing and the problem of Gauss words
zbMATH Open document ID: 0816.57010
author: Nathalie Chaves
author: Claude Weber
published in: Expositiones Mathematicae
publication date: 1995-07-20T00:00:00Z
review text: The plane projection of a knot with only double points in codified by an oriented Gauss word and the problem is to find necessary and sufficient conditions for an oriented Gauss word to be attached to a knot. The authors give a new, more geometrical proof of the two conditions by \textit{C. H. Dowker} and \textit{M. B. Thistlethwaite} [Topology Appl. 16, 19- 31 (1983; Zbl 0516.57002)] and show that the main condition is actually a cohomological obstruction, i.e. it is equivalent to the vanishing of a certain cohomology class. There is a minor error with the signs of a formula quoted in the introduction for historical reasons. For the corrected formula check [Erratum, ibid., No. 2, 124 (1994; see the review below)].
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 563274
zbMATH Keywords: ribbon plumbing
zbMATH Keywords: plane projection of a knot
zbMATH Keywords: Gauss word
reviewed by: Francisco Gómez
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 563274