Cohomology of diffeological spaces and foliations
Differential Geometry
2007-06-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0706.2313,
title = {Cohomology of diffeological spaces and foliations},
author = {E. Macias-Virgos and E. Sanmartin-Carbon},
journal= {arXiv preprint arXiv:0706.2313},
year = {2007}
}
Comments
6 pages