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: Lecture Notes on Embedded Contact HomologyLecture Notes on Embedded Contact Homology
by - arXiv
These notes give an introduction to embedded contact homology (ECH) of contact three-manifolds, gathering many basic notions which are scattered across a number of papers. We also discuss the origins of ECH, including various remarks and examples.
(4512 views)
Book cover: Contact GeometryContact Geometry
by - arXiv
This is an introductory text on the more topological aspects of contact geometry. After discussing some of the fundamental results of contact topology, I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem.
(7872 views)
Book cover: Lectures on Holomorphic Curves in Symplectic and Contact GeometryLectures on Holomorphic Curves in Symplectic and Contact Geometry
by - arXiv
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves. From the table of contents: Introduction; Local properties; Fredholm theory; Moduli spaces; Bubbling and nonsqueezing.
(8353 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.
(5983 views)