[Cohomologie de déformation d'un algèbroïde de Lie et équivalence de Morita]
Soit un algébroïde de Lie. Dans cette note, nous prouvons qu'un pull-back de A lelong d'une fibration ayant des fibres homologiquement m-connexes possède la même cohomologie de déformation que A jusqu'au degré m.
Let be a Lie algebroid. In this short note, we prove that a pull-back of A along a fibration with homologically m-connected fibers shares the same deformation cohomology of A up to degree m.
Accepté le :
Publié le :
@article{CRMATH_2018__356_4_376_0,
author = {Giovanni Sparano and Luca Vitagliano},
title = {Deformation cohomology of {Lie} algebroids and {Morita} equivalence},
journal = {Comptes Rendus. Math\'ematique},
pages = {376--381},
publisher = {Elsevier},
volume = {356},
number = {4},
year = {2018},
doi = {10.1016/j.crma.2018.03.004},
language = {en},
}
Giovanni Sparano; Luca Vitagliano. Deformation cohomology of Lie algebroids and Morita equivalence. Comptes Rendus. Mathématique, Volume 356 (2018) no. 4, pp. 376-381. doi : 10.1016/j.crma.2018.03.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.03.004/
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