Differential forms on singular varieties and cyclic homology

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dc.creatorBrasselet, Jean-Paul
dc.creatorLegrand, André
dc.date1996-11-23
dc.date.accessioned2026-07-07T09:07:06Z
dc.date.available2026-07-07T09:07:06Z
dc.descriptionA classical result of A. Connes asserts that the Frechet algebra of smooth functions on a smooth compact manifold X provides, by a purely algebraic procedure, the de Rham cohomology of X. Namely the procedure uses Hochschild and cyclic homology of this algebra. In the situation of a Thom-Mather stratified variety, we construct a Frechet algebra of functions on the regular part and a module of poles along the singular part. We associate to these objects a complex of differential forms and an Hochschild complex, on the regular part, both with poles along the singular part. The de Rham cohomology of the first complex and the cylic homology of the second one are related to the intersection homology of the variety, the corresponding perversity is determined by the orders of poles.
dc.descriptionTeX, 16 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9611027
dc.identifierhttp://arxiv.org/abs/alg-geom/9611027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150245
dc.subjectAlgebraic Geometry
dc.titleDifferential forms on singular varieties and cyclic homology
dc.typetext

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