Poisson geometry in mathematics and physics : international conference, June 59, 2006, Tokyo, Japan

Contributor(s): Dito GiuseppeMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 450Publication details: Providence, R.I. : American Mathematical Society, c2008Description: 1 online resource (xiii, 311 p. : ill.)ISBN: 9780821881293 (online)Subject(s): Geometric quantization | Poisson algebras | Poisson processesOnline resources: Click here to access online
Contents:
Quantized anti de Sitter spaces and nonformal deformation quantizations of symplectic symmetric spaces ; Grouplike objects in Poisson geometry and algebra ; Poisson fibrations and fibered symplectic groupoids ; Generalized Kahler and hyperKahler quotients ; Deformation quantization and reduction ; Examples of higher order stable singularities of Poisson structures ; Poisson reduction and the Hamiltonian structure of the EulerYangMills equations ; Orbifold cohomology of abelian symplectic reductions and the case of weighted projective spaces ; Deformation of graded Poisson (BatalinVilkovisky) structures ; Deformation quantization of a KahlerPoisson structure vanishing on a Levi nondegenerate hypersurface ; A note on Poisson homogeneous spaces ; Lectures on pure spinors and moment maps ; Lectures on PROPs, Poisson geometry and deformation quantization ; Deformation quantization modules on complex symplectic manifolds ; Noncommutative quasiHamiltonian spaces ; Locally noncommutative spacetimes Pierre Bieliavsky Laurent Claessens Daniel Sternheimer and Yannick Voglaire ; Christian Blohmann and Alan Weinstein ; Olivier Brahic and Rui Loja Fernandes ; Henrique Bursztyn Gil R Cavalcanti and Marco Gualtieri ; Alberto S Cattaneo ; JeanPaul Dufour ; Francois GayBalmaz and Tudor S Ratiu ; Tara S Holm ; Noriaki Ikeda ; Alexander V Karabegov ; JiangHua Lu ; E Meinrenken ; S A Merkulov ; Pierre Schapira ; Michel Van den Bergh ; Stefan Waldmann
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Includes bibliographical references.

Quantized anti de Sitter spaces and nonformal deformation quantizations of symplectic symmetric spaces ; Grouplike objects in Poisson geometry and algebra ; Poisson fibrations and fibered symplectic groupoids ; Generalized Kahler and hyperKahler quotients ; Deformation quantization and reduction ; Examples of higher order stable singularities of Poisson structures ; Poisson reduction and the Hamiltonian structure of the EulerYangMills equations ; Orbifold cohomology of abelian symplectic reductions and the case of weighted projective spaces ; Deformation of graded Poisson (BatalinVilkovisky) structures ; Deformation quantization of a KahlerPoisson structure vanishing on a Levi nondegenerate hypersurface ; A note on Poisson homogeneous spaces ; Lectures on pure spinors and moment maps ; Lectures on PROPs, Poisson geometry and deformation quantization ; Deformation quantization modules on complex symplectic manifolds ; Noncommutative quasiHamiltonian spaces ; Locally noncommutative spacetimes Pierre Bieliavsky Laurent Claessens Daniel Sternheimer and Yannick Voglaire ; Christian Blohmann and Alan Weinstein ; Olivier Brahic and Rui Loja Fernandes ; Henrique Bursztyn Gil R Cavalcanti and Marco Gualtieri ; Alberto S Cattaneo ; JeanPaul Dufour ; Francois GayBalmaz and Tudor S Ratiu ; Tara S Holm ; Noriaki Ikeda ; Alexander V Karabegov ; JiangHua Lu ; E Meinrenken ; S A Merkulov ; Pierre Schapira ; Michel Van den Bergh ; Stefan Waldmann

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