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arXiv · 2209.04925

Characterization of differential K-theory by hexagon diagram

Jiahao Hu
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Abstract

Using a canonical topology on differential K-theory induced from the Frech\'et space topology on differential forms and the discrete topology on topological K-theory, we prove that differential K-theory is uniquely determined by the character diagram up to a unique natural equivalence, thus giving an affirmative answer to a question asked by Simons and Sullivan in \cite{SS10}. We further deduce rigidity results including that there is a unique way of realizing $\RR/\ZZ$-K-theory as the flat theory, strengthening the results of \cite{BS10}.

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Jiahao Hu. 2022-09-11. Characterization of differential K-theory by hexagon diagram. https://arxiv.org/abs/2209.04925

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