Deformations of coisotropic submanifolds for fibrewise entire Poisson structures
type: Item
instance of: scholarly article
title: Deformations of coisotropic submanifolds for fibrewise entire Poisson structures
zbMATH Open document ID: 1282.53073
author: Florian Schätz
author: M. Zambon
published in: Letters in Mathematical Physics
publication date: 2013-08-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/1207.1696
review text: In this paper the authors prove that deformations of a coisotropic submanifold inside a fibrewise entire Poisson manifold are controlled by the \(L_\infty \)-algebra introduced by \textit{Y.-G. Oh} and \textit{J.-S. Park} [Invent. Math. 161, No. 2, 287--360 (2005; Zbl 1081.53066)] for the symplectic case and \textit{A. S. Cattaneo} and \textit{G. Felder} [Adv. Math. 208, No. 2, 521--548 (2007; Zbl 1106.53060) for arbitrary coisotropic submanifolds of Poisson manifolds. Also, they show that the problem of deforming simultaneously the Poisson structure and the coisotropic submanifold is formally obstructed.
reviewed by: Liviu Popescu
Mathematics Subject Classification ID: 53D17
Mathematics Subject Classification ID: 17A42
zbMATH DE Number: 6201615
zbMATH Keywords: coisotropic submanifold
zbMATH Keywords: deformation
zbMATH Keywords: Maurer-Cartan equation
MaRDI profile type: Publication
OpenAlex ID: W3121488808
arXiv ID: 1207.1696
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DOI: 10.1007/S11005-013-0614-9
description: scientific article; zbMATH DE number 6201615