2007/06/15 by E. Macías–Virgós, E. Macias-Virgos, Macias-Virgos, E. +3
Mathematics · #57R30 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:57R30
paper · pdf · doi:10.48550/arxiv.0706.2313
6 pages
arxiv created 2007/06/15 · openalex publication_date 2007/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (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.