Natural classification of knots

Détails

ID Serval
serval:BIB_8030DE6AE15F
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
Natural classification of knots
Périodique
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Auteur(s)
Flammini A., Stasiak A.
ISSN
1364-5021
Statut éditorial
Publié
Date de publication
2007
Peer-reviewed
Oui
Volume
463
Numéro
2078
Pages
569-582
Langue
anglais
Notes
Publication type : Article
Egalement publié dans : Knot theory for scientific objets/ A. Kawauchi. Proceedings of the International Workshop on Knot Theory for Scientific Objets held in Osaka(Japan), March 8-10, 2006
http://www.omup.jp/modules/papers/knot/chap23.pdf
Résumé
The principal objective of the knot theory is to provide a simple way of classifying and ordering all the knot types. Here, we propose a natural classification of knots based on their intrinsic position in the knot space that is defined by the set of knots to which a given knot can be converted by individual intersegmental passages. In addition, we characterize various knots using a set of simple quantum numbers that can be determined upon inspection of minimal crossing diagram of a knot. These numbers include: crossing number; average three-dimensional writhe; number of topological domains; and the average relaxation value
Mots-clé
knots, topology, knot invariants, ENERGY-SPECTRUM, IDEAL KNOTS, LINKS, WRITHE, INVARIANT, GLUEBALLS, DNA
Web of science
Création de la notice
25/01/2010 15:52
Dernière modification de la notice
20/08/2019 15:40
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