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math.DG2000
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…
math.KT2000
Foliation groupoids and their cyclic homology
M. Crainic, I. Moerdijk
In this paper we study the Lie groupoids which appear in foliation theory. A foliation groupoid is a Lie groupoid which integrates a foliation, or, equivalently, whose anchor map i…