[en] Lie algebroids ; van Est isomorphism ; deformation theory
[en] We show that representations up to homotopy can be differentiated in a functorial way. A van Est type isomorphism theorem is established and used to prove a conjecture of Crainic and Moerdijk on deformations of Lie brackets.
Center for Mathematical Analysis, Geometry and Dynamical Systems, IST Lisbon (Lisbon, Portugal)
Swiss National Science Foundation (SNF-grants 20-113439 and 20-121640) ; Center for Mathematical Analysis, Geometry and Dynamical Systems, IST Lisbon (Lisbon, Portugal) ; FCT/POCTI/FEDER through project PTDC/MAT/098936/2008