This article is available for purchase or by subscription. See below.
Abstract
|
We study the integrability of Poisson and Dirac structures that arise from quotient
constructions. As our main general result, we characterize the integrability of Poisson
structures which are obtained as quotients of Dirac structures. We illustrate our
constructions by deducing several classical results as well as new applications such as
an explicit description of Lie groupoids integrating two interesting families of
geometric structures:
- a special class of Poisson homogeneous spaces of symplectic groupoids
integrating Poisson groups and
- Dirac homogeneous spaces.
|
PDF Access Denied
We have not been able to recognize your IP address
54.144.233.198
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
Lie groupoids and Lie algebroids, Poisson geometry, Courant
algebroids, symplectic groupoids
|
Mathematical Subject Classification
Primary: 53D17
|
Milestones
Received: 21 October 2019
Revised: 15 September 2020
Accepted: 11 January 2021
Published: 17 March 2021
|
|