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Quotients of multiplicative forms and Poisson reduction

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Autor(es):
Cabrera, Alejandro ; Ortiz, Cristian
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 83, p. 40-pg., 2022-08-01.
Resumo

In this paper we study quotients of Lie algebroids and groupoids endowed with compatible differential forms. We identify Lie theoretic conditions under which such forms become basic and characterize the induced forms on the quotients. We apply these results to describe generalized quotient and reduction processes for (twisted) Poisson and Dirac structures, as well as to their integration by (twisted, pre-)symplectic groupoids. In particular, we recover and generalize several known results concerning Poisson reduction.(c) 2022 Elsevier B.V. All rights reserved. (AU)

Processo FAPESP: 16/01630-6 - Estruturas geométricas generalizadas em geometria de Poisson equivariante
Beneficiário:Cristián Andrés Ortiz González
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 19/14434-9 - Workshop on Contact and Poisson Geometry
Beneficiário:Cristián Andrés Ortiz González
Modalidade de apoio: Auxílio à Pesquisa - Reunião - Exterior