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

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.

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Bibliographic Details
Published in:arXiv.org 2019-09
Main Authors: Lind, John A, Sati, Hisham, Westerland, Craig
Format: Article
Language:English
Subjects:
Algebra
Bundles
Homology
Topology
Twisting
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1601.06285