Time: Monday, Wednesday 4:00-5:30
Lecture room: 2412
Instructor: Suhyoung Choi 4403(office)
Office Hours:
email: schoi at math dot kaist dot ac dot kr Phone: 2732
% Send me e-mails if there are any questions.
The purpose of the course is to learn cohomology theory, including Kunneth formula, products, and Poincare duality.
Course book: Main: Topology and Geometry by Bredon, Springer Verlag,
Supplementary: Algebraic Topology by Hatcher, Cambridge
Topics: cohomology theory, Kunneth formula, products, Poincare duality
Grading: 4 Report (200pts) Midterm (100pts.) Final (100pts.) Attendance (50pts) Total 450pts (The exams will be open book exams)
Schedule:
8.28 week: Introduction, IV.6 Axioms of homology
9.4 week: V. 1-5 Differential forms
9.11 week: V.6. Cohomology
9.18 week: V.7. Cohomology
9.25 week: V.8. Cohomology
10.2 week: V.9. Cohomology
10.9. week: IV. 16 The cross product, VI. 1. Products
10. 16 week: The midterm exam period
10.23 week: VI. 1. Products , VI.2.-3. Cohomology cross products,
10.30 week: VI.4 Cup products,
11.6 week: VI.5 Cap products
11.13 week: VI.6 VI.7. Orientation bundle
11.20 week: VI.7 Orientation bundle VI.8 Duality theorems
11.27 week: VI.8 Duality theorems, VI.9 Duality on compact manifolds with boundary
12.4 week: VI.10, Applications
12.11. week:The final exam period
(The schedule can change.)
Reports:
There will be about four reports. Their due dates will be posted here.
The scores of the late homework will be taken off by a formula.
Important Reminder: You need to solve problems in the order given in the book. You have to mark the problems you did not solve.