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We introduce and study the notion of representation up to homotopy of a Lie algebroid, paying special attention to examples.
Notions d’algèbre différentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie
Henri Cartan · 1951
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Lectures on characteristic classes and foliations
Raoul Bott · 1972
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On the Chern-Weil homomorphism and the continuous cohomology of Lie-groups
Raoul Bott · 1973
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Differential homological algebra and homogeneous spaces
Dale Husemoller, John C. Moore, and James Stasheff · 1974
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A cohomology for foliated manifolds
James L. Heitsch · 1975
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Foliations and metrics
Franz W. Kamber and Philippe Tondeur · 1983
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Superconnections and the Chern character
Daniel Quillen · 1985
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Lie groupoids and Lie algebroids in differential geometry
Kirill Mackenzie · 1987
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Symplectic groupoids and Poisson manifolds,
Alan. Weinstein · 1987
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Algebraic constructions in the category of Lie algebroids
Kirill Mackenzie and Paul Higgins · 1990
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Perturbation theory in differential homological algebra II
Victor K.A.M. Gugenheim, Larry Lambe, and James Stasheff · 1991
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A decomposition theorem for the spectral sequence of Lie foliations
Jesús A. Alvarez López · 1992
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Differential graded Lie algebras, quasi-Hopf algebras and higher homotopy algebras
Jim Stasheff · 1992
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BRST model for equivariant cohomology and representatives for the equivariant Thom class
Jaap Kalkman · 1993
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Ezra Getzler · 1994
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Differential operators and actions of Lie algebroids
Yvette Kosmann-Schwarzbach and Kirill C. H. Mackenzie · 2002
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Integrability of Lie brackets
Marius Crainic and Rui Loja Fernandes · 2003
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Integration of twisted Dirac brackets
Henrique Bursztyn, Marius Crainic, Alan Weinstein, and Chenchang Zhu · 2004
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Morita theory in abelian, derived and stable model categories
Stefan Schwede · 2004
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Secondary characteristic classes of Lie algebroids
Marius Crainic and Rui Loja Fernandes · 2005
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Deformations of Lie brackets: cohomological aspects
Marius Crainic and Ieke Moerdijk · 2008
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An introduction to homological algebra
Charles A. Weibel · 1994
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Iterated path integrals
Kuo Tsai Chen · 1997
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Transverse measures, the modular class and a cohomology pairing for Lie algebroids
Sam Evens, Jiang-Hua Lu, and Alan Weinstein · 1999
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Representations up to homotopy of groupoids and the Bott spectral sequence
Camilo Arias Abad and Marius Crainic
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The Weil algebra and Van Est isomorphisms
Camilo Arias Abad and Marius Crainic
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Lie algebroids and Cartan’s method of equivalence
Anthony Blaom
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Q-algebroids and their cohomology
Rajan Mehta · 2009
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Stability of symplectic leaves
Marius Crainic and Rui Loja Fernandes · 2010
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