Fibre bundles, connections and cyclic homology

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dc.creatorKaroubi, Max
dc.date2005-10-04
dc.date.accessioned2026-07-07T06:20:51Z
dc.date.available2026-07-07T06:20:51Z
dc.descriptionThis is a survey paper, starting from the general notion of coordinate bundle taken from Steenrod. Its aim is to provide a motivation for the introduction of cyclic homology (and the closely related noncommutative de Rham cohomology) by Connes, Tsygan and the author. The bridge is made through a generalization of Chern-Weil theory, explained in a very concrete manner through the transition functions of the bundles involved. The final result is a "Chern character" introduced by Connes and the author in the framework of K-theory and functional analysis.
dc.description8 pages ; see also http://www.math.jussieu.fr/~karoubi/
dc.identifierhttps://arxiv.org/abs/math/0510062
dc.identifierhttp://arxiv.org/abs/math/0510062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95431
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject55R10
dc.titleFibre bundles, connections and cyclic homology
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