56 citations · 71 across the 4 of their papers we have counts for
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Deformations of Lie brackets: cohomological aspects
M. Crainic, I. Moerdijk
We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which ``controls'' deformations of the structure bracket of the algeb…
Orbifolds as Groupoids: an Introduction
Ieke Moerdijk
This is a survey paper based on my talk at the Workshop on Orbifolds and String Theory, the goal of which was to explain the role of groupoids and their classifying spaces as a fou…
On the Classification of Regular Groupoids
I. Moerdijk
We observe that any regular Lie groupoid G over an manifold M fits into an extension of a foliation groupoid E by a bundle of connected Lie groups K. If $\FF$ is th…
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…