arXiv Open Access 2022

Characterization of differential K-theory by hexagon diagram

Jiahao Hu
Lihat Sumber

Abstrak

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}.

Topik & Kata Kunci

Penulis (1)

J

Jiahao Hu

Format Sitasi

Hu, J. (2022). Characterization of differential K-theory by hexagon diagram. https://arxiv.org/abs/2209.04925

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2022
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓