Cohomology of diffeological spaces and foliations

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dc.creatorMacias-Virgos, E.
dc.creatorSanmartin-Carbon, E.
dc.date2007-06-15
dc.date.accessioned2026-07-07T08:10:27Z
dc.date.available2026-07-07T08:10:27Z
dc.descriptionLet (M,F) be a foliated manifold. We study the relationship between the basic cohomology Hb(M,F) of the foliation and the De Rham cohomology H(DF) of the space of leaves M/F as a quotient diffeological space. We prove that for an arbitrary foliation there is a morphism from H(DF) to Hb(M,F). It is an isomorphism when F is a Q-foliation.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0706.2313
dc.identifierhttp://arxiv.org/abs/0706.2313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131830
dc.subjectDifferential Geometry
dc.subject57R30
dc.titleCohomology of diffeological spaces and foliations
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