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Poisson Geometry in Mathematics and Physics

Edited by: Giuseppe Dito University of Bourgogne, Dijon, France
Jiang-Hua Lu Hong Kong University of Science and Technology, Kowloon, Hong Kong, China
Yoshiaki Maeda Keio University, Yokohama, Japan
Alan Weinstein University of California, Berkeley, Berkeley, CA
Available Formats:
Softcover ISBN: 978-0-8218-4423-6
Product Code: CONM/450
List Price: $103.00 MAA Member Price:$92.70
AMS Member Price: $82.40 Electronic ISBN: 978-0-8218-8129-3 Product Code: CONM/450.E List Price:$97.00
MAA Member Price: $87.30 AMS Member Price:$77.60
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List Price: $154.50 MAA Member Price:$139.05
AMS Member Price: $123.60 Click above image for expanded view Poisson Geometry in Mathematics and Physics Edited by: Giuseppe Dito University of Bourgogne, Dijon, France Jiang-Hua Lu Hong Kong University of Science and Technology, Kowloon, Hong Kong, China Yoshiaki Maeda Keio University, Yokohama, Japan Alan Weinstein University of California, Berkeley, Berkeley, CA Available Formats:  Softcover ISBN: 978-0-8218-4423-6 Product Code: CONM/450  List Price:$103.00 MAA Member Price: $92.70 AMS Member Price:$82.40
 Electronic ISBN: 978-0-8218-8129-3 Product Code: CONM/450.E
 List Price: $97.00 MAA Member Price:$87.30 AMS Member Price: $77.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$154.50 MAA Member Price: $139.05 AMS Member Price:$123.60
• Book Details

Contemporary Mathematics
Volume: 4502008; 311 pp
MSC: Primary 53; 19; 58; 81; 14; 22; 47;

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.

Graduate students and research mathematicians interested in Symplectic and Poisson geometry, deformation quantization, and mathematical physics.

• Articles
• Pierre Bieliavsky, Laurent Claessens, Daniel Sternheimer and Yannick Voglaire - Quantized anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces [ MR 2397616 ]
• Christian Blohmann and Alan Weinstein - Group-like objects in Poisson geometry and algebra [ MR 2397617 ]
• Olivier Brahic and Rui Loja Fernandes - Poisson fibrations and fibered symplectic groupoids [ MR 2397618 ]
• Henrique Bursztyn, Gil R. Cavalcanti and Marco Gualtieri - Generalized Kähler and hyper-Kähler quotients [ MR 2397619 ]
• Alberto S. Cattaneo - Deformation quantization and reduction [ MR 2397620 ]
• Jean-Paul Dufour - Examples of higher order stable singularities of Poisson structures [ MR 2397621 ]
• François Gay-Balmaz and Tudor S. Ratiu - Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations [ MR 2397622 ]
• Tara S. Holm - Orbifold cohomology of abelian symplectic reductions and the case of weighted projective spaces [ MR 2397623 ]
• Noriaki Ikeda - Deformation of graded Poisson (Batalin-Vilkovisky) structures [ MR 2397624 ]
• Alexander V. Karabegov - Deformation quantization of a Kähler-Poisson structure vanishing on a Levi nondegenerate hypersurface [ MR 2397625 ]
• Jiang-Hua Lu - A note on Poisson homogeneous spaces [ MR 2397626 ]
• E. Meinrenken - Lectures on pure spinors and moment maps [ MR 2397627 ]
• S. A. Merkulov - Lectures on PROPs, Poisson geometry and deformation quantization [ MR 2397628 ]
• Pierre Schapira - Deformation quantization modules on complex symplectic manifolds [ MR 2397629 ]
• Michel Van den Bergh - Non-commutative quasi-Hamiltonian spaces [ MR 2397630 ]
• Stefan Waldmann - Locally noncommutative space-times [ MR 2397631 ]

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 4502008; 311 pp
MSC: Primary 53; 19; 58; 81; 14; 22; 47;

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.

Graduate students and research mathematicians interested in Symplectic and Poisson geometry, deformation quantization, and mathematical physics.

• Articles
• Pierre Bieliavsky, Laurent Claessens, Daniel Sternheimer and Yannick Voglaire - Quantized anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces [ MR 2397616 ]
• Christian Blohmann and Alan Weinstein - Group-like objects in Poisson geometry and algebra [ MR 2397617 ]
• Olivier Brahic and Rui Loja Fernandes - Poisson fibrations and fibered symplectic groupoids [ MR 2397618 ]
• Henrique Bursztyn, Gil R. Cavalcanti and Marco Gualtieri - Generalized Kähler and hyper-Kähler quotients [ MR 2397619 ]
• Alberto S. Cattaneo - Deformation quantization and reduction [ MR 2397620 ]
• Jean-Paul Dufour - Examples of higher order stable singularities of Poisson structures [ MR 2397621 ]
• François Gay-Balmaz and Tudor S. Ratiu - Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations [ MR 2397622 ]
• Tara S. Holm - Orbifold cohomology of abelian symplectic reductions and the case of weighted projective spaces [ MR 2397623 ]
• Noriaki Ikeda - Deformation of graded Poisson (Batalin-Vilkovisky) structures [ MR 2397624 ]
• Alexander V. Karabegov - Deformation quantization of a Kähler-Poisson structure vanishing on a Levi nondegenerate hypersurface [ MR 2397625 ]
• Jiang-Hua Lu - A note on Poisson homogeneous spaces [ MR 2397626 ]
• E. Meinrenken - Lectures on pure spinors and moment maps [ MR 2397627 ]
• S. A. Merkulov - Lectures on PROPs, Poisson geometry and deformation quantization [ MR 2397628 ]
• Pierre Schapira - Deformation quantization modules on complex symplectic manifolds [ MR 2397629 ]
• Michel Van den Bergh - Non-commutative quasi-Hamiltonian spaces [ MR 2397630 ]
• Stefan Waldmann - Locally noncommutative space-times [ MR 2397631 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.