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Tabla de Contenidos:
  • ""Contents""; ""Foreword""; ""List of Participants""; ""Quantized Anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces""; ""Group-like objects in Poisson geometry and algebra""; ""Poisson fibrations and fibered symplectic groupoids""; ""Generalized KÃ?hler and hyper-KÃ?hler quotients""; ""Deformation quantization and reduction""; ""Examples of higher order stable singularities of Poisson structures""; ""Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations""
  • ""Orbifold cohomology of abelian symplectic reductions and the case of weighted projective spaces""""1. Symplectic manifolds and quotients""; ""2. Orbifolds and their cohomology""; ""3. Why the symplectic category is convenient""; ""4. The case of weighted projective spaces""; ""References""; ""Deformation of graded Poisson (Batalin-Vilkovisky) structures""; ""Deformation quantization of a KÃ?hler-Poisson structure vanishing on a Levi nondegenerate hypersurface""; ""A note on Poisson homogeneous spaces""; ""Lectures on pure spinors and moment maps""; ""1. Introduction""
  • ""2. Volume forms on conjugacy classes""""3. Clifford algebras and spinors""; ""4. Linear Dirac geometry""; ""5. The Cartan-Dirac structure""; ""6. Dirac structures""; ""7. Group-valued moment maps""; ""References""; ""Lectures on PROPs, Poisson geometry and deformation quantization""; ""Deformation quantization modules on complex symplectic manifolds""; ""Non-commutative quasi-Hamiltonian spaces""; ""1. Introduction""; ""2. Preliminaries""; ""3. Generalities about bimodules""; ""4. Quasi-Poisson and quasi-Hamiltonian G-spaces""; ""5. Hamiltonian double quasi-Poisson algebras""
  • ""6. Quasi-bisymplectic algebras""""7. Compatibility""; ""8. More general base rings and quivers""; ""References""; ""Locally noncommutative space-times""