C. Nash and S. Sen.
"Topology and Geometry for Physicists".
Other useful books:
V. A. Vassiliev, "Introduction to
Topology," A. Hatcher, "Algebraic Topology", S. Morita,
"Geometry of differential forms".
Topics to be covered:
homology and cohomology
manifolds and calculus on manifolds
vector and principal bundles and connections on them
spinors and the Dirac equation,
characteristic classes of vector bundles
My office: 420 Downs. Office hour: Friday 1:30-2:30.
TA: Lev Spodyneiko, 446 Lauritsen. Office hours: Wednesday 4-7
HW will be posted on this page every week on Friday. Due next
Thursday by 12 pm. Please put the HW into Lev's mailbox on the
4th floor of Downs-Lauritsen.
Passing grade: >50% of the maximal possible total
number of points on HW. Each problem (or a sub-problem of a
problem, if it has sub-problems) is worth 10 pts. Ask me for an
extension if you need one, otherwise the HW will not be
10) Week 2
(due Oct. 17) Week 3
Oct. 24) Week 4
31) Week 5
(due Nov. 7)
(due Nov. 14)
(due Nov. 21) Week 8