Math221C: Differential Topology
Spring quarter, 2008

In order to accommodate the qualifying exams, May 27 class is rescheduled for Wednesday, May 28 from 3:00-4:15pm in SH4607.
Tuesday & Thursday 11:00 - 12:15
SH4607

Instructor:     Sergei Gukov
Office hours: Thursday 1:00-3:00pm, or by appointment, Broida 6137


Textbook:
Suggested Additional Reading:
Preliminary Outline:
Week Read Comments Homework
1 §1.1-2 Derivatives and Tangents §1.1: 4, 6, 16; §1.2: 6, 9, 10
2 §1.3-4 Immersions and Submersions §1.3: 4, 8; §1.4: 5, 7, 10
3 §1.5 "Algebraic" Applications, Transversality Homework 3
4 §1.6-7 Homotopy, Stability, Sard's Theorem, Morse Functions §1.6: 7; §1.7: 2, 8, 13
5 §1.8 Manifold Embeddings §1.8: 5, 6, 12
6 §2.1-2, §2.4 Manifolds with boundary, mod 2 Intersection Theory §2.1: 5; §2.2: 5; §2.4: 1
7 §2.5-6 Theorems of Jordan-Brouwer and Borsuk-Ulam §2.5: 4, 5; §2.6: 3
8 §3.1-2 Orientation and Orientability §3.2: 3, 4, 13
9 §3.3-4 Oriented Intersection Theory, ... no homework
10 §3.5-6 Term Papers  

Final Exam:  in addition to regular homework assignments (due a week later) there will be a final reading assignment. Each student will make a brief presentation on the topic of his/her choice (approved by the instructor).