A Superbundle Description of Differential <i>K</i>-Theory

Abstract

We construct a model of differential K-theory using superbundles with a Z/2Z-graded connection and a differential form on the base manifold and prove that our model is isomorphic to the Freed–Lott–Klonoff model of differential K-theory.

Keywords

• differential K-theory
• superbundles
• Chern–Simons forms
• Chern characters