Lectures on Symplectic Geometry

Lectures on Symplectic Geometry
by Ana Cannas da Silva

Publisher: Springer 2006
ISBN/ASIN: 3540421955
ISBN-13: 9783540421955
Number of pages: 225

Description:
An introduction to symplectic geometry and topology, it provides a useful and effective synopsis of the basics of symplectic geometry and serves as the springboard for a prospective researcher. From an introductory chapter of symplectic forms and symplectic algebra, the book moves on to many of the subjects that serve as the basis for current research: symplectomorphisms, Lagrangian submanifolds, the Moser theorems, Darboux-Moser-Weinstein theory, almost complex structures, KAhler structures, Hamiltonian mechanics, symplectic reduction, etc.