๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Introduction to symplectic topology

โœ Scribed by Dusa McDuff, Dietmar Salamon


Book ID
127418568
Publisher
Oxford University Press, USA
Year
1999
Tongue
English
Weight
4 MB
Series
Oxford Mathematical Monographs
Edition
2
Category
Library
City
Oxford
ISBN-13
9780198504511

No coin nor oath required. For personal study only.

โœฆ Synopsis


Symplectic structures underlie the equations of classical mechanics and their properties are reflected in the behavior of a wide range of physical systems. Over the last few years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. At its publication in 1995, Introduction to Symplectic Topology was the first comprehensive introduction to the subject and it has since become an established text in this fast-developing branch of mathematics. This second edition has been significantly revised and expanded, with new references and additional examples and theorems. It includes a section on new developments and an expanded discussion of Taubes and Donaldson's recent results.


๐Ÿ“œ SIMILAR VOLUMES


Symplectic geometry and topology
โœ Arnold, V. I. ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› American Institute of Physics ๐ŸŒ English โš– 695 KB
Introduction to Topology
โœ Bert Mendelson ๐Ÿ“‚ Library ๐Ÿ“… 1963 ๐Ÿ› Allyn and Bacon ๐ŸŒ English โš– 2 MB
Introduction to topology
โœ V. A. Vassiliev, A. Sossinski ๐Ÿ“‚ Library ๐Ÿ“… 2001 ๐Ÿ› American Mathematical Society ๐ŸŒ English โš– 648 KB

This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. In particular, ideas and results are introduced related to manifolds, cell spaces,

Introduction to Symplectic Dirac Operato
โœ Katharina Habermann, Lutz Habermann (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2006 ๐Ÿ› Springer ๐ŸŒ English โš– 568 KB

One of the basic ideas in differential geometry is that the study of analytic properties of certain differential operators acting on sections of vector bundles yields geometric and topological properties of the underlying base manifold. Symplectic spinor fields are sections in an L^2-Hilbert space b