Instructor

Professor Clint McCrory
Office: 402 Boyd Graduate Studies Research Center, (706) 542-2576
Home: 245 Oglethorpe Avenue, Athens 30606, (706) 353-6517
Email: clint@math.uga.edu
Fax: (706) 542-5907

Class meetings

12:30-1:45 Tuesday and Thursday
326 Boyd Graduate Studies Research Center

Office hours

Monday 12:20-1:10
Tuesday (no office hours)
Wednesday 11:15-1:10
Thursday 2:00-3:15
Friday (no office hours)
- or by appointment -

Syllabus

The recommended textbook is Introduction to Smooth Manifolds, by John M. Lee. It is available at the UGA bookstore. This textbook is not required.

The prerequisite for the course is MATH 8200, Algebraic Topology.

Course outline:

• Examples of manifolds
• Cohomology and Poincaré duality
• Introduction to smooth manifolds
• Morse theory
• Additional topics (de Rham's theorem, Lie groups)

Grades will be based on homework, which will be due every two weeks. There will be no exams.

References

Homework problems

Notes

Lens spaces: qq' = 1 (mod p)

Links

Towards the Poincare Conjecture and the Classification of 3-Manifolds, by John Milnor, Notices of the AMS, November 2003.

The Poincare Conjecture 99 Years Later: A Progress Report, by John Milnor, February 2003

Clay Millennium Prize Problem

If It Looks Like a Sphere..., by Erica Klarreich, Science News, June 14, 2003