Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids
type: Item
instance of: scholarly article
title: Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids
zbMATH Open document ID: 1528.53074
arXiv ID: 2211.13288
published in: Pure and Applied Mathematics Quarterly
publication date: 2023-11-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/2211.13288
review text: In the recent paper [Int. Math. Res. Not. 2022, No. 18, 14034--14066 (2022; Zbl 1508.53093)] the authors established a ``quantization commutes with reduction'' result for log-symplectic manifolds. The article under review contains the fundamental ingredients in the proof of this result. Namely, the authors give a generalisation of the Marsden-Weinstein reduction theorem as well as the Darboux-Moser-Weinstein theorem. They give these generalisations in the context of symplectic Lie algebroids. Log symplectic manifolds are instances of structures as such.
reviewed by: Iakovos Androulidakis
Mathematics Subject Classification ID: 53D17
Mathematics Subject Classification ID: 53D20
zbMATH DE Number: 7772607
zbMATH Keywords: symplectic Lie algebroids
zbMATH Keywords: Marsden-Weinstein reduction
zbMATH Keywords: Darboux-Moser-Weinstein theorem
MaRDI profile type: Publication
OpenAlex ID: W4388837898
DOI: 10.4310/PAMQ.2023.V19.N4.A13
description: scientific article; zbMATH DE number 7772607