Function Theory on Symplectic Manifolds

Function Theory on Symplectic Manifolds
Author :
Publisher : American Mathematical Soc.
Total Pages : 282
Release :
ISBN-10 : 9781470416935
ISBN-13 : 147041693X
Rating : 4/5 (93X Downloads)

Book Synopsis Function Theory on Symplectic Manifolds by : Leonid Polterovich

Download or read book Function Theory on Symplectic Manifolds written by Leonid Polterovich and published by American Mathematical Soc.. This book was released on 2014 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on symplectic topology, a rapidly developing field of mathematics which originated as a geometric tool for problems of classical mechanics. Since the 1980s, powerful methods such as Gromov's pseudo-holomorphic curves and Morse-Floer theory on loop spaces gave rise to the discovery of unexpected symplectic phenomena. The present book focuses on function spaces associated with a symplectic manifold. A number of recent advances show that these spaces exhibit intriguing properties and structures, giving rise to an alternative intuition and new tools in symplectic topology. The book provides an essentially self-contained introduction into these developments along with applications to symplectic topology, algebra and geometry of symplectomorphism groups, Hamiltonian dynamics and quantum mechanics. It will appeal to researchers and students from the graduate level onwards.


Function Theory on Symplectic Manifolds Related Books

Function Theory on Symplectic Manifolds
Language: en
Pages: 282
Authors: Leonid Polterovich
Categories: Geometric function theory
Type: BOOK - Published: 2014 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This is a book on symplectic topology, a rapidly developing field of mathematics which originated as a geometric tool for problems of classical mechanics. Since
Lectures on Symplectic Geometry
Language: en
Pages: 240
Authors: Ana Cannas da Silva
Categories: Mathematics
Type: BOOK - Published: 2004-10-27 - Publisher: Springer

DOWNLOAD EBOOK

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham the
Symplectic Manifolds with no Kaehler structure
Language: en
Pages: 216
Authors: Alesky Tralle
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with a
Morse Theory and Floer Homology
Language: en
Pages: 595
Authors: Michèle Audin
Categories: Mathematics
Type: BOOK - Published: 2013-11-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classic
The Topology of Torus Actions on Symplectic Manifolds
Language: en
Pages: 181
Authors: Michèle Audin
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

DOWNLOAD EBOOK

The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in