19 citations · 26 across the 5 of their papers we have counts for
8 papers
Modeling bundle-valued forms on the path space with a curved iterated integral
Cheyne J. Glass, Corbett Redden
We introduce a new variant of Hochschild's two-sided bar construction for the setting of curved differential graded algebras. One can geometrically think of the classical bar compl…
Noncommutative Differential K-theory
Byungdo Park, Arthur J. Parzygnat, Corbett Redden +1
We introduce a differential extension of algebraic K-theory of an algebra using Karoubi's Chern character. In doing so, we develop a necessary theory of secondary transgression for…
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…
An alternate description of equivariant connections
Corbett Redden
In this note, we consider a Lie group G acting on a manifold M. We prove that the category of bundles with connection on the differential quotient stack is equivalent to the catego…
Differential Borel equivariant cohomology via connections
Corbett Redden
For a compact Lie group acting on a smooth manifold, we define the differential cohomology of a certain quotient stack involving principal bundles with connection. This produces di…
Trivializations of differential cocycles
Corbett Redden
Associated to a differential character is an integral cohomology class, referred to as the characteristic class, and a closed differential form, referred to as the curvature. The c…
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…
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…