AMAT 840: Topics in Topology— Fall 2015
|
|
Classroom |
ES
153 |
|
Class hours |
MWF
1:40pm—2:35pm |
|
Professor |
Boris
Goldfarb |
|
Office |
ES
120B |
|
Office hours |
MW
11:30am—12:30am, F 12:30pm—1:30pm |
|
Telephone |
(518)
442-4712 |
|
Email address |
|
|
WWW page |
|
Topics: This will
be an introducion to the geometric topology of
manifolds. I will start with an
introduction to PL topology mainly using the book of Rourke/Sanderson, Introduction
to piecewise-linear topology, and occasionally the book of Hudson and notes
of Zeeman. The goal will be to get to the h-cobordism
theorem, Whitehead torsion, and the s-cobordism
theorem. Two possible topics
after that are Siebenmann's thesis or a sketch of
surgery theory or discrete Morse theory. The
following information is added to satisfy the Minimum Contents of a Class
Syllabus requirements. The prerequisites for this course are first year
courses in algebra and topology. The course is A-E graded. Attendance is critical
to success in the class. |