Čech-De Rham theory for leaf spaces of foliations
By M. Crainic, Ieke Moerdijk. 2000
65 citations recorded by the source corpus.
We present a new ‘‘Čech-De Rham’’ model for the cohomology of the classifying space of a foliated manifold. This model enables us to lift the construction of known characteristic classes in the cohomology of the manifold to the cohomology of the classifying space, by standard geometric methods and without making any reference to (necessarily non-Hausdorff) groupoids and their classifying spaces. We also show how the Čech-De Rham model can be used to prove some other known formulas, as well as a version of Poincare duality for foliations.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/74e8cd4c6ff112bd466b124ac588297ba752cca7
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In Algebra and Number Theory
- Ieke Moerdijk
- Benoit Fresse
- Joachim Kock
- Denis-Charles Cisinski
- Alain Bruguières
- L. Pereira
- P. Bonventre
- Michael Shulman
In Geometry and Topology
- Ieke Moerdijk
- Benoit Fresse
- Chenchang Zhu
- Helmut Hofer
- Alain Bruguières
- Michael Shulman
- L. Pereira
- P. Bonventre
In Mathematical Physics
- Ieke Moerdijk
- Benoit Fresse
- Joachim Kock
- Chenchang Zhu
- Helmut Hofer
- Denis-Charles Cisinski
- Alain Bruguières
- C. Berger
Citations in the corpus
- Foliation Groupoids and Their Cyclic Homology (2000, unknown): “crainic math uu nl moerdijk math uu nly”
- Orbifolds as groupoids: an introduction (2002, background): “In fact, a Lie groupoid is a foliation groupoid iff it is Morita equivalent to an ´etale groupoid [ CM2 ].”