Chern classes on differential K-theory

Ulrich Bunke

Vol. 247 (2010), No. 2, 313–322

DOI: 10.2140/pjm.2010.247.313

Abstract

In this note we give a simple, model-independent construction of Chern classes as natural transformations from differential complex K-theory to differential integral cohomology. We verify the expected behavior of these Chern classes with respect to sums and suspension.

Keywords

differential K-theory, Chern classes

Mathematical Subject Classification 2000

Primary: 19L10

Milestones

Received: 15 July 2009

Accepted: 2 March 2010

Published: 11 August 2010