Math 425, Bundles and Hodge Theory, Fall 2002
Homework Assignments
Homework assignments will generally be due every other Thursday.
They will be listed here as they are assigned.
Most problems are from the assigned textbook, Warner's
Foundations of Differentiable Manifolds and Lie Groups,
Springer GTM 94.
Only about half the assigned problems, those marked with *,
are to be turned in. Think about the rest, but don't bother
to write them up.
- Due Sep 12:
-
- Read:
- Chapter 1
- Ch 1:
- 5*, 6, 10, 11*, 17*
- Due Sep 26:
-
- Read:
- Chapter 2
- Ch 2:
- 3, 5*, 6, 9*, 12, 15*
- Due Oct 3:
-
- Read:
- Chapter 3
- Ch 3:
- 14, 17 (nothing to turn in)
- Due Oct 17:
-
- Read:
- Chapter 4
- Ch 4:
- 1*, 5, 12*, 14, 15*
- Due Oct 31:
-
- Read:
- Chapter 5 (to p.207)
- Ch 5:
- 2*, 3*, 4, 10, 11*, 17
- Due Dec 12:
-
- Read:
- Chapter 6 (at least to p.227) and the handout from Melrose
- Ch 6:
- 12*, 16(abd)*
- Also:
- Compute the Hodge cohomology of the flat torus
Rn/Zn.