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arXiv 1601.06285math.AThep-thmath.KT
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球面丛的扭曲迭代代数K理论与拓扑T对偶

Twisted iterated algebraic K-theory and topological T-duality for sphere bundles

John A. Lind, Hisham Sati, Craig Westerland

备注：
45 pages. Update includes rationality results for spectra admitting a T-duality isomorphism, and extended comments on higher categorical aspects of iterated K-theory. Title changed from "A higher categorical analogue of topological T-duality for sphere bundles." To appear in Annals of K-theory
发表信息：
Ann. K-Th. 5 (2020) 1-42
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摘要：

我们介绍了一个周期形式的迭代代数K理论的ku，（连接）复杂的K理论频谱，以及自然扭曲的上同调理论由更高的gerbes。此外，我们证明了一种形式的拓扑T-对偶的球面丛定向关于这个理论。

英文摘要：

We introduce a periodic form of the iterated algebraic K-theory of ku, the (connective) complex K-theory spectrum, as well as a natural twisting of this cohomology theory by higher gerbes. Furthermore, we prove a form of topological T-duality for sphere bundles oriented with respect to this theory.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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