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math.DG2017
A classification of equivariant gerbe connections
Byungdo Park, Corbett Redden
Let G be a compact Lie group acting on a smooth manifold M. In this paper, we consider Meinrenken's G-equivariant bundle gerbe connections on M as objects in a 2-groupoid. We prove…
math.DG2009★ 19 cited
String structures and canonical 3-forms
Corbett Redden
Using basic homotopy constructions, we show that isomorphism classes of string structures on spin bundles are naturally given by certain degree 3 cohomology classes, which we call…
math.DG2008
Harmonic forms on principal bundles
Corbett Redden
We show a relationship between Chern-Simons 1- and 3-forms and harmonic forms on a principal bundle. Doing so requires one to consider an adiabatic limit. For the 3-form case, assu…