Lectures on Symplectic Geometry Paperback - 2001
by Ana Cannas Da Silva
First line
A symplectic form is a 2-form satisfying an algebraic condition - nondegeneracy - and an analytical condition - closedness.
From the rear cover
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.
Details
- Title Lectures on Symplectic Geometry
- Author Ana Cannas Da Silva
- Binding Paperback
- Edition 1st ed. 2001. Co
- Pages 220
- Volumes 1
- Language ENG
- Publisher Springer, Berlin, Germany
- Date 2001-07-17
- Illustrated Yes
- Features Bibliography, Illustrated, Maps
- ISBN 9783540421955 / 3540421955
- Weight 0.79 lbs (0.36 kg)
- Dimensions 9.34 x 6.1 x 0.52 in (23.72 x 15.49 x 1.32 cm)
- Library of Congress Catalog Number 2001034460
- Dewey Decimal Code 516.36
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