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• W4297580420 abstract "There is an equivalence relation on the set of smooth maps of a manifold into the stable unitary group, defined using a Chern-Simons type form, whose equivalence classes form an abelian group under ordinary block sum of matrices. This construction is functorial, and defines a differential extension of odd K-theory, fitting into natural commutative diagrams and exact sequences involving K-theory and differential forms. To prove this we obtain along the way several results concerning even and odd Chern and Chern-Simons forms." @default.
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• W4297580420 date "2012-11-19" @default.
• W4297580420 modified "2023-10-14" @default.
• W4297580420 title "An Elementary Differential Extension of Odd K-theory" @default.
• W4297580420 doi "https://doi.org/10.48550/arxiv.1211.4477" @default.
• W4297580420 hasPublicationYear "2012" @default.
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