This article is available for purchase or by subscription. See below.
Abstract
|
Coisotropic algebras are used to formalize coisotropic reduction in Poisson
geometry and in deformation quantization; they find applications in other
fields as well. Here we prove a Serre–Swan theorem relating the regular
projective modules over the coisotropic algebra built out of a manifold
, a submanifold
and an integrable
smooth distribution
with vector bundles over this geometric situation and show an equivalence of
categories for the case of a simple distribution.
|
PDF Access Denied
We have not been able to recognize your IP address
44.200.82.195
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
coisotropic algebra, projective coisotropic module,
Serre–Swan theorem, foliation, vector bundles
|
Mathematical Subject Classification
Primary: 13C10
Secondary: 14D21, 16D40, 53B05, 53C12, 53D17
|
Milestones
Received: 20 January 2021
Revised: 23 March 2021
Accepted: 25 December 2021
Published: 6 April 2022
|
|