Integration of conformal Jacobi fibrations and prequantization of Poisson fibrations
type: Item
instance of: scholarly article
title: Integration of conformal Jacobi fibrations and prequantization of Poisson fibrations
zbMATH Open document ID: 1288.53078
author: Aïssa Wade
published in: African Diaspora Journal of Mathematics
publication date: 2013-11-14T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.adjm/1375293545
review text: The author introduces conformal Jacobi fibrations, which unify Poisson and contact fiber bundles, and discusses the integration problems involved. By a conformal Jacobi fibration is meant a locally trivial fiber bundle \(p:M\rightarrow B\), where \(M\) and \(B\) are manifolds whose fiber type \(F\) is a Jacobi manifold together with a set of trivializations, whose transition maps preserve the conformal class of the Jacobi structure of \(F\). The author further examines some applications of this theory to the prequantization of Poisson fibrations and shows that the simply connected symplectic groupoid associated to a prequantizable and integrable Poisson fibration is also prequantizable. This is a nice result.
Mathematics Subject Classification ID: 53D17
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 55R05
zbMATH DE Number: 6227083
zbMATH Keywords: Jacobi fibrations
zbMATH Keywords: prequantization
zbMATH Keywords: Poisson fibrations
zbMATH Keywords: groupoid
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6227083