19 citations · 26 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…