Structured vector bundles define differential K-theory

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dc.creatorSimons, James
dc.creatorSullivan, Dennis
dc.date2008-10-28
dc.date.accessioned2026-07-07T10:13:36Z
dc.date.available2026-07-07T10:13:36Z
dc.descriptionA equivalence relation, preserving the Chern-Weil form, is defined between connections on a complex vector bundle. Bundles equipped with such an equivalence class are called Structured Bundles, and their isomorphism classes form an abelian semi-ring. By applying the Grothedieck construction one obtains the ring K, elements of which, modulo a complex torus of dimension the sum of the odd Betti numbers of the base, are uniquely determined by the corresponding element of ordinary K and the Chern-Weil form. This construction provides a simple model of differential K-theory, c.f.Hopkins-Singer (2005), as well as a useful codification of vector bundles with connection.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0810.4935
dc.identifierhttp://arxiv.org/abs/0810.4935
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172588
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.titleStructured vector bundles define differential K-theory
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