球面丛的扭曲迭代代数K理论与拓扑T对偶
代数拓扑
2020-03-25 v3 高能物理 - 理论
K理论与同调
摘要
我们引入了ku（连通复K理论谱）的迭代代数K理论的周期形式，以及由高阶gerbe对这种上同调理论的天然扭曲。此外，我们证明了关于该理论定向的球面丛的一种拓扑T对偶形式。
引用
@article{arxiv.1601.06285,
title = {Twisted iterated algebraic K-theory and topological T-duality for sphere bundles},
author = {John A. Lind and Hisham Sati and Craig Westerland},
journal= {arXiv preprint arXiv:1601.06285},
year = {2020}
}
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