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research article

The Momentum Map In Poisson Geometry

Fernandes, Rui Loja
•
Ortega, Juan-Pablo  
•
Ratiu, Tudor S.  
2009
American Journal Of Mathematics

Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction.

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Type
research article
DOI
10.1353/ajm.0.0068
Web of Science ID

WOS:000270438900003

Author(s)
Fernandes, Rui Loja
•
Ortega, Juan-Pablo  
•
Ratiu, Tudor S.  
Date Issued

2009

Published in
American Journal Of Mathematics
Volume

131

Start page

1261

End page

1310

Subjects

Symplectic Groupoids

•

Lie Algebroids

•

Convexity

•

Reduction

•

Brackets

•

Spaces

•

Integrability

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CAG2  
Available on Infoscience
November 30, 2010
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/59817
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