Introduction to Symplectic Geometry

• Main Authors: Koszul, Jean-Louis (Author, http://id.loc.gov/vocabulary/relators/aut), Zou, Yi Ming (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Mathematical physics.; Probabilities.; Differential geometry.; Mechanics.; Mathematical Physics.; Probability Theory and Stochastic Processes.; Differential Geometry.; Classical Mechanics.

This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case,...

Table of Contents:

• Some Algebra Basics
• Symplectic Manifolds
• Cotangent Bundles
• Symplectic G-spaces
• Poisson Manifolds
• A Graded Case.