Differential Topology Course Page
M382D, Spring 2013
Differential Topology
David Ben-Zvi, benzvi@math.utexas.edu
Class MWF 11:00-12:00 pm in
Room: RLM 9.166
Office Hours
Th 1-2 pm (subject to change) in RLM 10.168
Courseload There will be homework (a weekly problem set)
accounting for 30 percent of the grade, a midterm accounting for 20 percent, and a
final accounting for 50 percent.
Course Description This course constitutes the second half of the geometry/topology prelim sequence.
This includes smooth (abstract) manifolds, submanifolds and smooth maps, differential forms and integration, transversality, degree, fixed point theorems, etc.
To a large extent we wil use the text by Guillemin and Pollack. The text by Warner will also be used. Milnor's little book is a classic.
Prerequisite I will assume a good knowledge of linear algebra and calculus, and a level of mathematical sophistication.
Textbooks
- Differential Topology, Victor Guillemin and Alan Pollack
- Foundations of Differentiable Manifolds and Lie Groups, Frank W. Warner
- Topology from the Differentiable Viewpoint, John W. Milnor (highly recommended)
- Introduction to Smooth Manifolds. John M. Lee.
SSD Accommodations:
Any student with a documented disability who requires academic accommodations should contact Services for Students with Disabilities (SSD) at (512) 471-6259 (voice) or 1-866-329-3986 (video phone).
Homeworks: