Math 562, Differential Topology (officially called Differential Geometry and Topology).
Time: T/Th 1200-120
Location: BRNG 1243
Homework: TBD.
The suggested textbooks are
(1) Guillemin-Pollack, Differential Topology
(2) Spivak, Calculus on manifolds
(3) Lee, Introduction to smooth manifolds
(4) Milnor, Topology from a differential viewpoint (see also Milnor videos)
(5) Class notes from 2012 that will be edited as class goes on. You can find them below.
We will use primarily (5). (1), (2), and (3) are a nice reference that (5) follows. (4) has some beautiful applications of differential topology.
You will not need any of the books for the class but it could be handy to have a few different references to supplement the lectures.
The weekly homework sets do not require you to reference any textbook as I write out all the problems. The homework assignments will appear below here.