Abstract
We show that if a smooth multiplicative subbundle S subset of T G on a groupoid G P is involutive and satisfies completeness conditions, then its leaf space G/S inherits a groupoid structure over the space of leaves of TP boolean AND S in P. As an application, a special class of Dirac groupoids is shown to project by forward Dirac maps to Poisson groupoids.
Details
Title
The Leaf Space Of A Multiplicative Foliation
Author(s)
Jotz, M.
Published in
Journal Of Geometric Mechanics
Pagination
20
Volume
4
Issue
3
Pages
313-332
Date
2012
Publisher
Springfield, Amer Inst Mathematical Sciences
ISSN
1941-4889
Other identifier(s)
View record in Web of Science
Laboratories
CAG2
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > SB Archives > CAG2 - Chair of Algebraic Geometry (closed)
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2013-02-27