Dirac manifolds and classical mechanics.

En esta charla se introduce la mecanica clasíca desde el punto de vista symplectico, de Poisson y mediante el haz generalizado (dirac structures). Notes can be downloaded here.

References:

• T. Courant Dirac Manifolds
• T. Courant, Weinstein Beyond Poisson structures
• P. Dirac Lectures on quantum mechanics
• Henrique Bursztyn A brief introduction to Dirac manifolds
• Alejandro Casallas Lagos Geometría de Estructuras de Dirac y Sistemas con Ligaduras
• Goldstein, Poole, Safko Classocal Mechanics. 3rd Edition.
• Gert Heckman Symplectic Geometry
• Ana Cannas da Silva Lectures on Symplectic Geometry

Presentation sketch: