Differential Topology
Math 7500, Winter 2013
Class:
- Math 7500
- 116 State Hall
- MWF 9:35 - 10:30
- Text:
Brocker and Janich, Introduction to Differential Topology
(Cambridge Univ. Press, ISBN: 9780521241359)
Here are my
notes from 1999 and
my
web page from 2012.
The following texts will also be of interest.
-
Bjorn Ian Dundas,
Differential Topology
(available online)
-
John M. Lee,
Introduction to Smooth Manifolds
(very detailed with a lot of explanation)
-
John Milnor,
Topology from the Differentiable Viewpoint
(a classic gem)
-
Guillemin and Pollack,
Differential Topology
(a standard text)
-
Abraham, Marsden and Ratiu,
Manifolds, Tensor Analysis and Applications
(aimed more at applications)
Professor:
-
Robert Bruner
- Office: 1193 FAB, (313)-577-2499
- Math Department: (313)-577-2479
- Fax: (313)-577-7596 (shared)
- Office hours: MWF 10:45 - 11:45 or by appointment.
Schedule:
First class: Monday, 7 January.
MLK holiday: Monday, 21 January.
Spring break: Monday-Friday, 11-15 March.
Last class: Monday, 22 April.
You will
be responsible for material covered in class, whether it is in the book
or not. My lecture notes will be posted below. There may be tests.
Regular homework problems will be assigned and will be due at the start of
class on the assigned due date. Their role is to strengthen your grasp
on the material and fix it firmly in your memory.
Assignments and lecture notes:
(Text = Brocker and Janich's Introduction to Differential Topology.)