Chern-Weil theory for equivariant bundles

Wednesday, October 28, 2015 - 15:00 to 16:00
Thackeray 525
Speaker Information
Corbett Redden
Long Island University

Abstract or Additional Information

Suppose that a compact Lie group G acts on a smooth manifold M.  To any G-equivariant complex vector bundle with connection over M, there exist classical constructions of equivariant Chern forms and equivariant Chern classes.  In my talk, I will explain how to use simple bundle constructions to produce this equivariant Chern-Weil theory from the ordinary non-equivariant theory.  I will then explain how this naturally produces secondary Chern-Simons type invariants.