MAT 566 
Differential Topology 
Spring 2022 

TΘ 3:00--4:20
Physics P-127

Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TuTh 11:00--12:30, or by appointment.


Differential Topology

The main objective of ordinary topology is to determine when two topological spaces are homeomorphic. Differential topology analogously seeks to determine when two smooth manifolds are diffeomorphic. This course will develop some of the basic tools used in the study of smooth manifolds and smooth maps.


Textbook:
Morris Hirsch,
Differential Topology,
Springer-Verlag, 1976;
reprinted 2012.


Prerequisite: Geometry/Topology II; or permission of the graduate director.

No exams will be given in this course. However, a small amount of homework will be assigned and collected.

For homework assignment #1, click here.

For homework assignment #2, click here.

Grades will be based on homework completion and class participation.


The Professor may be reached via e-mail by .
This is the best method for making appointments outside normal office hours.


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