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Symplectic, Poisson, and Noncommutative Geometry (Hardcover)
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Symplectic, Poisson, and Noncommutative Geometry (Hardcover)
Series: Mathematical Sciences Research Institute Publications
Expected to ship within 10 - 15 working days
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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presentations of previously unpublished results and comprehensive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.
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