Ralph Martin Kaufmann
Purdue University; Department of Mathematics
150 N. University Street; West Lafayette, IN
 Phone: (765) 494-1205; Fax: (765) 494-0548
e-mail: rkaufman@math.purdue.edu  URL: http://www.math.purdue.edu/~rkaufman

 
MA 59800  - Fall 2014
Differential Topology



Instructor: Ralph Kaufmann

                    Office: Math 730
                     Contact via e-mail

Date and Time:   TR 9:00 - 10:15 pm in Univ 303
Syllabus

Office hours:  W 10-11 T 1:30-2:20


References:
[BT] Bott and Tu: Differential forms in Algebraic Topology 

more references might be added.

Homework: Any homework will be posted here. The following homework is suggested

Number
Due
HW
 p36 Ex 4.2,4.3 p41. ex 4.10.1 p.50 Ex 5.12
 09/10

 Topics for presentation. Check back with me for questions. I will do § 8,9 and things that are not picked up
 
Section Person
 Tentative Date
§ 10 Presheaves and Cech Cohomology Seraina Wachter
 10/28
§ 11 Sphere Bundles Feng Hao
 10/30
§ 12 Thom Isomorphism and Poincare duality revisited. (up to 2 people) Hongshan Li and Jake Noparstak 11/4,11/6
§ 13 Monodromy Yu Tsumura
 11/11
§ 14 The spectral sequence of a filtered complex (up to 3 people) Danaiel Bath, Jason Lucas and Ryan Spitler
 11/13, 11/18, 11/20
§ 15 Cohomology with integer coefficients p190-end of paragraph Mark Pengitore 11/25
§ 17 Review of Homotopy Theory
 Artur Jackson 12/4
§ 18 Applications of Homotopy theory (up to 2 people) Yongheng Zhan and Byeongho Lee 
112/9 2/11
§ 19 Rational Homotopy theory (can be skipped if no one takes it) (up to 2 people)*


* If two people want this, then some other section will be shortened to allow for enough time.


NEWS:  Topic list open