Adams operations in smooth K-theory
Ulrich Bunke
TL;DR
This paper demonstrates that Adams operations in complex K-theory can be extended to smooth K-theory, establishing a Riemann-Roch type theorem that ensures their compatibility with smooth K-theory integration.
Contribution
It introduces a lift of Adams operations to smooth K-theory and proves their compatibility with integration via a Riemann-Roch type theorem.
Findings
Adams operations are liftable to smooth K-theory.
A Riemann-Roch type theorem for these operations is established.
Compatibility of Adams operations with smooth K-theory integration is demonstrated.
Abstract
We show that the Adams operations in complex K-theory lift to operations in smooth K-theory. The main result is a Riemann-Roch type theorem about the compatibility of the Adams operations and the integration in smooth K-theory.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry · Advanced Operator Algebra Research