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: 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.
(8551 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.
(7053 views)
Book cover: Introduction to the Basics of Heegaard Floer HomologyIntroduction to the Basics of Heegaard Floer Homology
by - arXiv
This is an introduction to the basics of Heegaard Floer homology with some emphasis on the hat theory and to the contact geometric invariants in the theory. It is designed to be comprehensible to people without any prior knowledge of the subject.
(3760 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.
(7487 views)