Prof. Denis Auroux
This is a second-semester graduate course on the geometry of manifolds. The main emphasis is on the geometry of symplectic manifolds, but the material also includes long digressions into complex geometry and the geometry of 4-manifolds, with special emphasis on topological considerations.
Auroux, Denis. 18.966 Geometry of Manifolds, Spring 2007. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-966-geometry-of-manifolds-spring-2007 (Accessed). License: Creative Commons BY-NC-SA