Poisson brackets -- Poisson bivectors -- Local structure of Poisson manifolds -- Symplectic leaves and the symplectic foliation -- Poisson transversals -- Symplectic realizations -- Dirac geometry -- Submanifolds in Poisson geometry -- Poisson cohomology -- Poisson homotopy -- C…
This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amal…
This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amal…
This work describes a general construction of a deformation quantization for an Poisson bracket on a manifold which comes from an action of [italic capital]R[superscript italic]d on that manifold. These deformations quantizations are strict, in the sense that the deformed produc…