Reduction of symplectic groupoids and quotients of quasi-Poisson manifolds

Fuente: arXiv
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Autore principale: Álvarez, D.
Natura: Preprint
Pubblicazione: 2020
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author Álvarez, D.
author_facet Álvarez, D.
contents In this work we study the integrability of quotients of quasi-Poisson manifolds. Our approach allows us to put several classical results about the integrability of Poisson quotients in a common framework. By categorifying one of the already known methods of reducing symplectic groupoids we also describe double symplectic groupoids which integrate the recently introduced Poisson groupoid structures on gauge groupoids.
format Preprint
id arxiv_https___arxiv_org_abs_2011_11796
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Reduction of symplectic groupoids and quotients of quasi-Poisson manifolds
Álvarez, D.
Symplectic Geometry
In this work we study the integrability of quotients of quasi-Poisson manifolds. Our approach allows us to put several classical results about the integrability of Poisson quotients in a common framework. By categorifying one of the already known methods of reducing symplectic groupoids we also describe double symplectic groupoids which integrate the recently introduced Poisson groupoid structures on gauge groupoids.
title Reduction of symplectic groupoids and quotients of quasi-Poisson manifolds
topic Symplectic Geometry
url https://arxiv.org/abs/2011.11796