Chern classes on differential K-theory
Ulrich Bunke
TL;DR
This paper presents a straightforward, model-independent way to construct Chern classes within differential K-theory, ensuring they behave as expected under various operations.
Contribution
It introduces a simple, natural transformation-based construction of Chern classes in differential K-theory, independent of specific models.
Findings
Chern classes are constructed as natural transformations.
The construction respects sum and suspension operations.
The approach is model-independent.
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 behaviour of these Chern classes with respect to sums and suspension.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research · Advanced Algebra and Geometry