Introduction to symplectic topology
โ 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.
โฆ 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.
๐ SIMILAR VOLUMES
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,
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