Symplectic, Poisson, and Noncommutative Geometry (Mathematical Sciences Research Institute Publications) - Hardcover

Hardcover

ISBN 10: 1107056411 ISBN 13: 9781107056411

Publisher: Cambridge University Press, 2014

Synopsis

Symplectic geometry originated in physics, but it has flourished as an independent subject in mathematics, together with its offspring, symplectic topology. Symplectic methods have even been applied back to mathematical physics. Noncommutative geometry has developed an alternative mathematical quantization scheme based on a geometric approach to operator algebras. Deformation quantization, a blend of symplectic methods and noncommutative geometry, approaches quantum mechanics from a more algebraic viewpoint, as it addresses quantization as a deformation of Poisson structures. This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute: Symplectic and Poisson Geometry in Interaction with Analysis, Algebra and Topology (honoring Alan Weinstein, one of the key figures in the field) and Symplectic Geometry, Noncommutative Geometry and Physics. The chapters include presentations of previously unpublished results and comprehensive reviews, including recent developments in these areas.

About this title

Book Description:

This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute: Symplectic and Poisson Geometry in Interaction with Analysis, Algebra and Topology (honoring Alan Weinstein, one of the key figures in the field) and Symplectic Geometry, Noncommutative Geometry and Physics.

About the Author:

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About this edition

• Publisher: Cambridge University Press
• Publication date: 2014
• ISBN 10: 1107056411
• ISBN 13: 9781107056411
• Binding: Hardcover
• Number of pages: 304
• Editor: Eguchi Tohru, Eliashberg Yakov, Maeda Yoshiaki