Ana Cannas da Silva, Lectures on Symplectic Geometry (Repost)
Ana Cannas da Silva, Lectures on Symplectic Geometry
ISBN: 3540421955 | edition 2008 | PDF | 229 pages | 12 mb
ISBN: 3540421955 | edition 2008 | PDF | 229 pages | 12 mb
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, Kaehler manifolds, hamiltonian mechanics, moments 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.