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 theory and classical Lie groups. This text covers symplectomorphisms, local forms, contact manifold, compatible almost complex structures, Kaeh
โฆ LIBER โฆ
Lectures on symplectic manifolds
โ Scribed by Alan Weinstein
- Book ID
- 127397177
- Publisher
- American Mathematical Society
- Year
- 1977
- Tongue
- English
- Weight
- 865 KB
- Series
- CBMS Regional Conference Series in Mathematics
- Category
- Library
- ISBN
- 0821816799
No coin nor oath required. For personal study only.
โฆ Synopsis
The first six sections of these notes contain a description of some of the basic constructions and results on symplectic manifolds and lagrangian submanifolds. Section 7, on intersections of largrangian submanifolds, is still mostly internal to symplectic geometry, but it contains some applications to machanics and dynamical systems. Sections 8, 9, and 10 are devoted to various aspects of the quantization problem. In Section 10 there is a feedback of ideas from quantization theory into symplectic geometry itslef.
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