Twisted iterated algebraic K-theory and topological T-duality for sphere bundles
Algebraic Topology
2020-03-25 v3 High Energy Physics - Theory
K-Theory and Homology
Abstract
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.
Keywords
Cite
@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}
}
Comments
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