98 citations · 413 across the 37 of their papers we have counts for
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Cech-De Rham theory for leaf spaces of foliations
Marius Crainic, Ieke Moerdijk
The purpose of this paper is to present a ``Cech-De Rham'' model for the cohomology of leaf spaces. This model lends itself to the construction of characteristic classes (in the co…
Connections up to homotopy and characteristic classes
Marius Crainic
In this note we clarify the relevance of ``connections up to homotopy'' to the theory of characteristic classes. We have already remarked \cite{Crai} that such connections up to ho…
Chern characters via connections up to homotopy
Marius Crainic
The aim of this note is to point out that Chern characters can be computed using curvatures o ``super-connections up to homotopy'. We also present an application to the vanishing t…
Differentiable and algebroid cohomology, van Est isomorphisms, and characteristic classes
Marius Crainic
In the first section we discuss Morita invariance of differentiable/algebroid cohomology. In the second section we present an extension of the van Est isomorphism to groupoids. Thi…