Inner topological structure of Hopf invariant

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dc.creatorRen, Ji-Rong
dc.creatorLi, Ran
dc.creatorDuan, Yi-Shi
dc.date2007-05-30
dc.date.accessioned2026-07-07T10:35:58Z
dc.date.available2026-07-07T10:35:58Z
dc.descriptionIn 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.
dc.description13pages, no figure. Accepted by J.Math.Phys
dc.identifierhttps://arxiv.org/abs/0705.4337
dc.identifierhttp://arxiv.org/abs/0705.4337
dc.identifierJ.Math.Phys.48:073502,2007
dc.identifierdoi:10.1063/1.2747614
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179903
dc.subjectMathematical Physics
dc.titleInner topological structure of Hopf invariant
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