Inner topological structure of Hopf invariant

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In light of $ϕ$-mapping topological current theory, the inner topological structure of Hopf invariant is investigated. It is revealed that Hopf invariant is just the winding number of Gauss mapping. According to the inner structure of topological current, a precise expression for Hopf invariant is also presented. It is the total sum of all the self-linking and all the linking numbers of the knot family.
13pages, no figure. Accepted by J.Math.Phys

Keywords

Mathematical Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/179903

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.4337
 http://arxiv.org/abs/0705.4337
 J.Math.Phys.48:073502,2007
 doi:10.1063/1.2747614

Collections

arXiv