Instructor: David Glickenstein

Office: Mathematics 715

Office Phone: 621-2463

Office Hours: TBA

Email: glickenstein@math.arizona.edu

Office: MTL 120Q

Phone: 621-2138

Email: tdm@math.arizona.edu

- Algebraic Topology by
Allen Hatcher

- Introduction to Smooth Manifolds by John Lee.

- Exam 1: March 3
- Exam 2: April 19

- Homework 1. Due 1/20
- Homework 2. Due 1/27
- Homework 3. Due 2/10
- Homework 4. Due 2/17
- Homework 5. Due 3/3 (Same day as test, so take an extra day or two if you need, or, even better, turn in early!
- Homework 6. Due 3/22
- Homework 7. Due 3/31.
- Homework 8. Due 4/12. (Note new due
date!)

- Homework 9. Due 4/21
- Homework 10. Due 5/3

- Fundamental group. Last updated January 26, 2011.
- Van Kampen's theorem. Last updated February 1, 2011.
- Covering spaces. Last updated February 24, 2011.
- Homology. Last updated April 7, 2011.
- Cohomology. Last updated April 29, 2011.

Instructor: David Glickenstein

Office: Mathematics 715

Office Phone: 621-2463

Office Hours: Tuesdays 2-3 (in Math 220, upper division tutoring room), Wednesdays 3-4 (in Math 715), Fridays 10-11 (in Math 715)

Email: glickenstein@math.arizona.edu

Office: MTL 120Q

Phone: 621-2138

Email: tdm@math.arizona.edu

- Introduction to Smooth Manifolds by John Lee.

Other books of note:

- Calculus on Manifolds by Spivak
- A Comprehensive Introduction to Differential Geometry Vol. 1 by Spivak
- Topology and Geometry by Bredon.
- Manifolds, Tensor Analysis and Applications by Abraham, Marsden, and Ratiu
- An Introduction to
Differentiable Manifolds and Riemannian Geometry by Boothby.

- Exam 1 will be October 12.

- Homework 1. Due 8/31.

- Homework 2. Due 9/7.
- Homework 3. Due 9/14.
- Homework 4. Due 9/23.
- Homework 5. Due 10/7.
- Homework 6. Due 10/21.
- Homework 7. Due 11/4.
- Homework 8. Due 11/18.
- Homework 9+. Assorted due dates.

- Chapter 1: Smooth manifolds. Last updated September 2, 2010.
- Chapter 2: Smooth maps. Last updated September 21, 2010.
- Chapter 3: Tangent spaces. Last updated
September 29, 2010. Note: these are not very good notes, so be
forewarned.