A topological invariant to predict the three-dimensional writhe of ideal configurations of knots and links.

Détails

ID Serval
serval:BIB_392DFC661540
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
A topological invariant to predict the three-dimensional writhe of ideal configurations of knots and links.
Périodique
Proceedings of the National Academy of Sciences of the United States of America
Auteur⸱e⸱s
Cerf C., Stasiak A.
ISSN
0027-8424[print], 0027-8424[linking]
Statut éditorial
Publié
Date de publication
04/2000
Volume
97
Numéro
8
Pages
3795-3798
Langue
anglais
Notes
Publication types: Journal Article
Publication Status: ppublish
Résumé
We present herein a topological invariant of oriented alternating knots and links that predicts the three-dimensional (3D) writhe of the ideal geometrical configuration of the considered knot/link. The fact that we can correlate a geometrical property of a given configuration with a topological invariant supports the notion that the ideal configuration contains important information about knots and links. The importance of the concept of ideal configuration was already suggested by the good correlation between the 3D writhe of ideal knot configurations and the ensemble average of the 3D writhe of random configurations of the considered knots. The values of the new invariant are quantized: multiples of 4/7 for links with an odd number of components (including knots) and 2/7 plus multiples of 4/7 for links with an even number of components.
Pubmed
Web of science
Open Access
Oui
Création de la notice
24/01/2008 10:36
Dernière modification de la notice
20/08/2019 13:28
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