De Rham cohomology of diffeological spaces and foliations

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dc.creatorHector, G.
dc.creatorMacías-Virgós, E.
dc.creatorSanmartín-Carbón, E.
dc.date2009-03-16
dc.date.accessioned2026-07-07T12:53:06Z
dc.date.available2026-07-07T12:53:06Z
dc.descriptionLet $(M,\mathcal{F})$ be a foliated manifold. We prove that there is a canonical isomorphism between the complex of base-like forms $Ω^*_b(M,\mathcal{F})$ of the foliation and the "De Rham complex" of the space of leaves $M/\mathcal{F}$ when considered as a "diffeological" quotient. Consequently, the two corresponding cohomology groups $H^*_b(M,\mathcal{F})$ and $H^*(M/\mathcal{F})$ are isomorphic.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0903.2871
dc.identifierhttp://arxiv.org/abs/0903.2871
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223509
dc.subjectDifferential Geometry
dc.subject57R30; 58B99
dc.titleDe Rham cohomology of diffeological spaces and foliations
dc.typetext

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