拓扑K理论的有理代数K理论
Rational algebraic K-theory of topological K-theory
摘要：
证明了有理化后存在一个同伦纤维序列BBU -> K（ku）-> K（Z）.我们将其解释为空间X上的虚2-向量丛与自由闭路空间LX上的相关反常丛之间的对应关系。我们还合理地计算K（KU）通过使用本地化序列，和K（MU）的方法，适用于所有的连接S-代数。
英文摘要：
We show that after rationalization there is a homotopy fiber sequence BBU -> K(ku) -> K(Z). We interpret this as a correspondence between the virtual 2-vector bundles over a space X and their associated anomaly bundles over the free loop space LX. We also rationally compute K(KU) by using the localization sequence, and K(MU) by a method that applies to all connective S-algebras.
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