Lie algebroids; van Est isomorphism; deformation theory
Résumé :
[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.
Centre de recherche :
Center for Mathematical Analysis, Geometry and Dynamical Systems, IST Lisbon (Lisbon, Portugal)
Disciplines :
Mathématiques
Auteur, co-auteur :
Arias Abad, Camilo; Universidad Nacional de Colombia en Medellín (Colombia) > Escuela de Matemáticas > Profesor Asistente
SCHATZ, Florian ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Deformations of Lie brackets and representations up to homotopy
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
