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  - Spring 2022
Differential Topology




Instructor: Ralph Kaufmann

                    Office: Math 722
                    Contact via e-mail

Date and Time:   TR 12:00 - 1:15 pm in Rec114
Syllabus

Office hours:  Th 2-3pm and by appointment



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



Due
HW1 Fill in details of proof of Lemma 3.4 and Theorem 3.5 for general n. Exercises 4.2, 4.3, 4.10.1
Show that a (co)chain homotopy induces an iso in (co)homology.
02/17/22
HW2
Read Munkres Elements of Algebraic Topology Paragraphs 21,22
Exercises 4.11.1, 5.16, 6.10
03/10/22
HW3
Exercise  6.32, 6.44, 6.45, 6.46; 7.9, 14.35
4/14/22


 Topics for presentation. Check back with me for questions.
 
Section Person
  Date
13
Bairnsfather, 2
4/12
16
3,4
4/14
17 Part 1
5,6
4/19
17 Part 2
7,8
4/21
17 Part 3
9,10
4/26
18
11,12
4/28










  Topics Section 13, 15, 16, 17,  maybe special requests from 18 or later chapters..



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