Geometry of Manifolds

As taught in: Spring 2007

Six figure-eights inside an oblong shape.

The symplectic sum of two Lefschetz fibrations. (Image courtesy of Prof. Denis Auroux.)

Instructors:

Prof. Denis Auroux

MIT Course Number:

18.966

Level:

Graduate

Course Features

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.