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MAT 566: Differential Topology
Course Instructor: Mark McLean
Monday, Wednesday 2:30pm-3:50pm in Physics P122.
This will be a course mainly on characteristic classes, which
are particular invariants of vector bundles.
These will include Stiefel Whitney classes,
Chern classes and Pontrjagin classes.
We will also cover classifying spaces and in particular
and the Hirzebruch signature theorem.
At the end of the course we will combine many of these
ideas to construct a smooth 7 manifold which is homeomorphic
but not diffeomorphic to the 7 dimensional sphere.
We will be following the book
Characteristic Classes, Annals of Mathematics Studies 76, by John Milnor and
Tuesday, Thursday 11am-12pm (Math 4-101B).
Exercise Sheet (not compulsory)
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