Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, incl
Symplectic geometry is a central topic of current research in mathematics. Indeed, symplectic methods are key ingredients in the study of dynamical systems, dif
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 the
This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framewor
Symplectic geometry has its origins as a geometric language for classical mechanics. But it has recently exploded into an independent field interconnected with