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)
4424712 
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 piecewiselinear topology, and occasionally the book of Hudson and notes
of Zeeman. The goal will be to get to the hcobordism
theorem, Whitehead torsion, and the scobordism
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 AE graded. Attendance is critical
to success in the class. 