This volume is a collection of articles by speakers at the conference ""Poisson 2006: Poisson Geometry in Mathematics and Physics"", which was held June 5-9, 2006, in Tokyo, Japan. Poisson 2006 was the fifth in a series of international conferences on Poisson geometry that are held once every two years. The aim of these conferences is to bring together mathematicians and mathematical physicists who work in diverse areas but have common interests in Poisson geometry. The program for Poisson 2006 was remarkable for the overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction. The articles represent current research in Poisson geometry and should be valuable to anyone interested in Poisson geometry, symplectic geometry, and mathematical physics. This volume also contains lectures by the principal speakers of the three-day school held at Keio University that preceded Poisson 2006.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
Gewicht
ISBN-13
978-0-8218-4423-6 (9780821844236)
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Schweitzer Klassifikation
Quantized anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces by P. Bieliavsky, L. Claessens, D. Sternheimer, and Y. Voglaire Group-like objects in Poisson geometry and algebra by C. Blohmann and A. Weinstein Poisson fibrations and fibered symplectic groupoids by O. Brahic and R. L. Fernandes Generalized Kahler and hyper-Kahler quotients by H. Bursztyn, G. R. Cavalcanti, and M. Gualtieri Deformation quantization and reduction by A. S. Cattaneo Examples of higher order stable singularities of Poisson structures by J.-P. Dufour Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations by F. Gay-Balmaz and T. S. Ratiu Orbifold cohomology of abelian symplectic reductions and the case of weighted projective spaces by T. S. Holm Deformation of graded Poisson (Batalin-Vilkovisky) structures by N. IKEDA Deformation quantization of a Kahler-Poisson structure vanishing on a Levi nondegenerate hypersurface by A. V. Karabegov A note on Poisson homogeneous spaces by J.-H. Lu Lectures on pure spinors and moment maps by E. Meinrenken Lectures on props, Poisson geometry and deformation quantization by S. A. Merkulov Deformation quantization modules on complex symplectic manifolds by P. Schapira Non-commutative quasi-Hamiltonian spaces by M. Van den Bergh Locally noncommutative space-times by S. Waldmann.
