18.966 | Spring 2007 | Graduate

Geometry of Manifolds

Course Description

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.
Learning Resource Types
Problem Sets with Solutions
Lecture Notes
Six figure-eights inside an oblong shape.
The symplectic sum of two Lefschetz fibrations. (Image courtesy of Prof. Denis Auroux.)