Deformations of Lie Groupoids

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Autor(es):	Crainic, Marius ^[1] ; Mestre, Joao Nuno ^[1] ; Struchiner, Ivan ^[2] Número total de Autores: 3
Afiliação do(s) autor(es):	^[1] Univ Utrecht, Dept Math, NL-3508 TA Utrecht - Netherlands ^[2] Univ Sao Paulo, Dept Math, Sao Paulo - Brazil Número total de Afiliações: 2
Tipo de documento:	Artigo Científico
Fonte:	INTERNATIONAL MATHEMATICS RESEARCH NOTICES; v. 2020, n. 21, p. 7662-7746, NOV 2020.
Citações Web of Science:	2
Resumo
We study deformations of Lie groupoids by means of the cohomology which controls them. This cohomology turns out to provide an intrinsic model for the cohomology of a Lie groupoid with values in its adjoint representation. We prove several fundamental properties of the deformation cohomology including Morita invariance, a van Est theorem, and a vanishing result in the proper case. Combined with Moser's deformation arguments for groupoids, we obtain several rigidity and normal form results. (AU)

Processo FAPESP:	13/16753-8 - Estabilidade de colchetes de Lie e seus morfismos
Beneficiário:	Ivan Struchiner
Modalidade de apoio:	Auxílio à Pesquisa - Regular