ENGLISH

Lectures on Symplectic Geometry

By Ana Cannas da Silva (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2001
ISBN
3540421955, 9783540421955
DOI
10.1007/978-3-540-45330-7
ISSN
0075-8434
Open Library ID
OL9057332M
Language
english
Format
DJVU
Filesize
2 MB (2105382 bytes)
Series
Lecture Notes in Mathematics 1764
Edition
1
Pages
220\224
Library
Kolxo3
DPI
600
Scanned
yes
Time added
2009-07-20 03:45:11
Differential Geometry; Partial Differential Equati

Description

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 addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.

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