Logo

Symplectic, Poisson, and Noncommutative Geometry

Large book cover: Symplectic, Poisson, and Noncommutative Geometry

Symplectic, Poisson, and Noncommutative Geometry
by

Publisher: Cambridge University Press
ISBN-13: 9781107056411
Number of pages: 290

Description:
Symplectic geometry has its origin in physics, but has flourished as an independent subject in mathematics, together with its offspring, symplectic topology. Symplectic methods have even been applied back to mathematical physics; for example, Floer theory has contributed new insights to quantum field theory.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

Book cover: Introduction to Symplectic Field TheoryIntroduction to Symplectic Field Theory
by - arXiv
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic manifolds and their Lagrangian submanifolds in the spirit of topological field theory.
(12906 views)
Book cover: Symplectic GeometrySymplectic Geometry
by - Princeton University
An overview of symplectic geometry – the geometry of symplectic manifolds. From a language of classical mechanics, symplectic geometry became a central branch of differential geometry and topology. This survey gives a partial flavor on this field.
(12906 views)
Book cover: Lectures on Symplectic GeometryLectures on Symplectic Geometry
by - Springer
An introduction to symplectic geometry and topology, it provides a useful and effective synopsis of the basics of symplectic geometry and serves as the springboard for a prospective researcher. The text is written in a clear, easy-to-follow style.
(15176 views)
Book cover: Symplectic Geometry of Quantum NoiseSymplectic Geometry of Quantum Noise
by - arXiv
We discuss a quantum counterpart of certain constraints on Poisson brackets coming from 'hard' symplectic geometry. They can be interpreted in terms of the quantum noise of observables and their joint measurements in operational quantum mechanics.
(9625 views)