A smooth variant of Hopkins-Singer differential K-theory
Byungdo Park
TL;DR
This paper introduces a smooth variant of the Hopkins-Singer differential K-theory model, demonstrating its natural isomorphism to existing models, thereby enhancing the mathematical framework of differential K-theory.
Contribution
The paper presents a new smooth model of differential K-theory and proves its equivalence to established models, providing a more refined mathematical structure.
Findings
The smooth variant is mathematically consistent with existing models.
Proves natural isomorphisms between different differential K-theory models.
Enhances the theoretical understanding of differential K-theory.
Abstract
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 Tradler-Wilson-Zeinalian model of differential K-theory.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models