Geometry of Manifolds

Six figure-eights inside an oblong shape.

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


MIT Course Number


As Taught In

Spring 2007



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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.

Auroux, Denis. 18.966 Geometry of Manifolds, Spring 2007. (MIT OpenCourseWare: Massachusetts Institute of Technology), (Accessed). License: Creative Commons BY-NC-SA

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