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Autori principali:	Hirota, Yuji, Ikeda, Noriaki
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Symplectic Geometry Differential Geometry 53D20 (Primary) 53D17, 70G45 (Secondary)
Accesso online:	https://arxiv.org/abs/2411.10969
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_version_	1866908539038990336
author	Hirota, Yuji Ikeda, Noriaki
author_facet	Hirota, Yuji Ikeda, Noriaki
contents	Reduction theorem for Poisson manifolds with Hamiltonian Lie algebroids is presented. The notion of compatibility of a momentum section is introduced to the category of Hamiltonian Lie algebroids over Poisson manifolds. It is shown that a compatible momentum section is a Lie algebra homomorphism, and then the quotient space of the zero level set of a compatible momentum section proves to be a Poisson manifold.
format	Preprint
id	arxiv_https___arxiv_org_abs_2411_10969
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Reduction of Poisson manifolds with Hamiltonian Lie algebroids Hirota, Yuji Ikeda, Noriaki Symplectic Geometry Differential Geometry 53D20 (Primary) 53D17, 70G45 (Secondary) Reduction theorem for Poisson manifolds with Hamiltonian Lie algebroids is presented. The notion of compatibility of a momentum section is introduced to the category of Hamiltonian Lie algebroids over Poisson manifolds. It is shown that a compatible momentum section is a Lie algebra homomorphism, and then the quotient space of the zero level set of a compatible momentum section proves to be a Poisson manifold.
title	Reduction of Poisson manifolds with Hamiltonian Lie algebroids
topic	Symplectic Geometry Differential Geometry 53D20 (Primary) 53D17, 70G45 (Secondary)
url	https://arxiv.org/abs/2411.10969

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