Chern-Weil theory for vector bundles

Geometry Topology Student Seminar
Friday, November 15, 2013 - 2:05pm
1 hour (actually 50 minutes)
Skiles 006.
Georgia Tech.
Given a vector bundle over a smooth manifold, one can give an alternate definition of characteristic classes in terms of geometric data, namely connection and curvature. We will see how to define Chern classes and Euler class for the a vector bundle using this theory developed in mid 20th century.