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math.KT2021★ 2 cited
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…
math.KT2016★ 2 cited
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…
math.KT2016★ 6 cited
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…