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Poisson Geometry and Applications
, 2007 This workshop concentrated on some of the major areas of Poisson geometry and its applications. Topics covered included moment maps, global Poisson geometry (Poisson-Lie groups, homogeneous spaces), Poisson topology (deformations, integrability) and symplectic groupoids.
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Geometry of Poisson structures
Georgian Mathematical Journal, 1995Abstract The purpose of this paper is to consider certain mechanisms of the emergence of Poisson structures on a manifold. We shall also establish some properties of the bivector field that defines a Poisson structure and investigate geometrical structures on the manifold induced by such fields.
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Poisson Geometry and Applications
Oberwolfach Reports, 2008The half-size workshop was organized by Anton Alekseev (Geneve), Rui Loja Fernandes (Lisboa), Eckhard Meinrenken (Toronto) and Markus Pflaum (Frankfurt). Marius Crainic (Utrecht) also acted as an unofficial organizer. The programme consisted of 17 lectures and covered a range of areas in Poisson Geometry and its applications where significant progress ...
Anton Alekseev +3 more
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Special Symplectic Connections and Poisson Geometry
Letters in Mathematical Physics, 2004The authors show how any special symplectic connection can be constructed using symplectic realizations of quadratic deformations of a certain linear Poisson structure. The space of symplectic connections is rather huge. Therefore, to study meaningful connections, it is thus necessary to impose further conditions. In this paper, the authors investigate
Cahen, Michel, Schwachhöfer, Lorenz J.
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Examples of Symbolic and Numerical Computation in Poisson Geometry
Lecture Notes in Computer Science, 2021MIGUEL Evangelista-Alvarado +2 more
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