TY  - GEN
AU  - Da Silva, Ana Cannas
TI  - Lectures on symplectic geometry
SN  - 9783540421955
U1  - 516.36 
PY  - 2008///
CY  - Berlin
PB  - Springer
KW  - Symplectic geometry
KW  - Geometry, Differential
KW  - Symplectic manifolds
KW  - Differential equations, Partial
KW  - Mathematics
KW  - Global differential geometry
N1  - includes references and index
N2  - 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.

https://link.springer.com/book/10.1007/978-3-540-45330-7#toc
ER  -