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- W3143076716 abstract "We discuss an object from algebraic topology,Hopf invariant,and reinterpret it in terms of the φ-mapping topological current theory.The main purpose of this paper is to present a new theoretical framework,which can directly give the relationship between Hopf invariant and the linking numbers of the higher dimensional submanifolds of Euclidean space R~(2n-1).For the sake of this purpose we introduce a topological tensor current,which can naturally deduce the (n-1)-dimensional topological defect in R~(2n-1) space.If these (n-1)-dimensional topological defects are closed oriented submanifolds of R~(2n-1),they are just the (n-1)-dimensional knots.The linking number of these knots is well defined. Using the inner structure of the topological tensor current,the relationship between Hopf invariant and the linking numbers of the higher-dimensional knots can be constructed." @default.
- W3143076716 created "2021-04-13" @default.
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- W3143076716 date "2008-01-01" @default.
- W3143076716 modified "2023-09-23" @default.
- W3143076716 title "A New Route to the Interpretation of Hopf Invariant" @default.
- W3143076716 hasPublicationYear "2008" @default.
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