Autor(es)

Crainic, Marius ^[1] ; Mestre, Joao Nuno ^[1] ; Struchiner, Ivan ^[2]

Afiliação do(s) autor(es)

^[1] Univ Utrecht, Dept Math, NL-3508 TA Utrecht - Netherlands

^[2] Univ Sao Paulo, Dept Math, Sao Paulo - Brazil

• 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