A cohomology attached to a function

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dc.creatorMonnier, Philippe
dc.date2002-12-03
dc.date.accessioned2026-07-07T04:53:30Z
dc.date.available2026-07-07T04:53:30Z
dc.descriptionIn this paper, we study a certain cohomology attached to a smooth function, which arose naturally in Poisson geometry. We explain how this cohomology depends on the function, and we prove that it satisfies both the excision and the Mayer-Vietoris axioms. For a regular function we show that the cohomology is related to the de Rham cohomology. Finally, we use it to give a new proof of a well-known result of A. Dimca in complex analytic geometry.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0212045
dc.identifierhttp://arxiv.org/abs/math/0212045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65873
dc.subjectDifferential Geometry
dc.subject53D17, 58A10, 14F40, 32S05
dc.titleA cohomology attached to a function
dc.typetext

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