Characterization of differential K-theory by hexagon diagram
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866909533030318080 |
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| author | Hu, Jiahao |
| author_facet | Hu, Jiahao |
| contents | 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 \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}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_04925 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Characterization of differential K-theory by hexagon diagram Hu, Jiahao Algebraic Topology K-Theory and Homology 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 \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}. |
| title | Characterization of differential K-theory by hexagon diagram |
| topic | Algebraic Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2209.04925 |