论文标题
六角图对差分K理论的表征
Characterization of differential K-theory by hexagon diagram
论文作者
论文摘要
利用从差异形式的Frechét空间拓扑以及拓扑K理论的离散拓扑引起的差异K理论的规范拓扑，我们证明，差异K理论是由角色图以独特的自然等效性而确定的，从而为Simons和Sullivan在\ cite cite sssssss ssssss ssss ssss sss ssss sss sss sss sess {sss10}提供了一个肯定的答案。我们进一步推断出刚性结果，包括有一种独特的方法可以将$ \ rr/\ zz $ -K理论视为平坦的理论，从而增强了\ cite {bs10}的结果。
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}.
