6 citations · 10 across the 4 of their papers we have counts for
5 papers
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…
Brown representability for directed graphs
Zachary McGuirk, Byungdo Park
We prove that any contravariant functor from the homotopy category of finite directed graphs to abelian groups satisfying the additivity axiom and the Mayer-Vietoris axiom is repre…
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…
A smooth variant of Hopkins-Singer differential K-theory
Byungdo Park
We introduce a smooth variant of the Hopkins-Singer model of differential K-theory. We prove that our model is naturally isomorphic to the Hopkins-Singer model and also to the Trad…
Geometric models of twisted differential K-theory I
Byungdo Park
This is the first in a series of papers constructing geometric models of twisted differential K-theory. In this paper we construct a model of even twisted differential K-theory whe…