The momentum map in Poisson geometry
By Rui Loja Fernandes, Juan-Pablo Ortega, Tudor S. Ratiu. 2007
47 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/fc545c375af3c1e3447a7f1610737a79d4c308e1
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In Algebra and Number Theory
- M. Crainic
- Rui Loja Fernandes
- R. Mehta
- A. Gracia-Saz
- C. A. Abad
- H. Bursztyn
- Anthony D. Blaom
- A. Henriques
In Geometry and Topology
- Rui Loja Fernandes
- M. Crainic
- C. A. Abad
- H. Bursztyn
- Charles-Michel Marle
- Anthony D. Blaom
- A. Henriques
- A. Cabrera
In Mathematical Physics
- M. Crainic
- Rui Loja Fernandes
- R. Mehta
- A. Gracia-Saz
- C. A. Abad
- H. Bursztyn
- Anthony D. Blaom
- A. Henriques
Citations in the corpus
- Lectures on integrability of Lie brackets (2006, background): “29 One can show that a source n–connected Lie groupoid G over a n– connected base M has a space of arrows which is n–connected (see, eg, [26]).”