Sur l'invariant de Kervaire des noeuds classiques
type: Item
instance of: scholarly article
title: Sur l'invariant de Kervaire des noeuds classiques
zbMATH Open document ID: 0571.57005
DOI: 10.1007/BF02567409
author: Jean Lannes
published in: Commentarii Mathematici Helvetici
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/140008
review text: Let A be the set of knot-diagrams with a given projection in the plane. The author gives an algebraic characterization of the function that assigns to each element of A the Kervaire (or ''Arf'') invariant of the corresponding knot, and deduces from it a simple formula for calculating the Kervaire invariant of a knot from one of its diagrams. [Incidentally, the formula can also be deduced from the relationship between the Arf invariants and linking numbers, cf. Theorem 10.7 of \textit{L. H. Kauffman}, Formal knot theory (1983; Zbl 0537.57002).]
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 11E16
zbMATH DE Number: 3911298
zbMATH Keywords: knot-diagrams
zbMATH Keywords: Kervaire invariant of a knot
zbMATH Keywords: Arf invariants
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3911298