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Book Cover
E-book
Author Dito, Giuseppe

Title Poisson Geometry in Mathematics and Physics
Published Providence : American Mathematical Society, 2008

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Description 1 online resource (330 p.)
Series Contemporary Mathematics ; v.450
Contemporary Mathematics
Contents ""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""
Notes Description based upon print version of record
English
Subject Poisson algebras -- Congresses
Poisson processes -- Congresses
Geometric quantization -- Congresses
Geometric quantization
Poisson algebras
Poisson processes
Mathematics.
Physical Sciences & Mathematics.
Algebra.
Genre/Form Conference papers and proceedings
Form Electronic book
Author Lu, Jiang-Hua
Maeda, Yoshiaki
Poisson 2006 Corporate Author
Poisson 2006
ISBN 9780821881293
0821881299
Other Titles Contemporary Mathematics
Contemporary Mathematics, Volume 450
Poisson geometry in mathematics and physics: international conference, June 5-9, 2006, Tokyo, Japan