2022/09/11 by Jiahao Hu, Hu, Jiahao
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.2209.04925
openalex publication_date 2022/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using a canonical topology on differential K-theory induced from the Frechét 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 \citeSS10. 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 \citeBS10.