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Twisted iterated
algebraic $K$-theory and topological T-duality for sphere
bundles
John A. Lind, Hisham Sati and Craig Westerland |
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Vol. 5 (2020), No. 1, 1–42
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DOI: 10.2140/akt.2020.5.1
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Abstract |
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We introduce a periodic form of the iterated algebraic -theory of , the (connective) complex -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
T-duality, iterated algebraic $K$-theory, twisted
$K$-theory, $n$-gerbes
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Mathematical Subject Classification 2010
Primary: 19D99, 55N20, 55R15, 55R65
Secondary: 18D05, 19L50, 55P43
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Milestones
Received: 8 December 2017
Revised: 12 August 2019
Accepted: 28 August 2019
Published: 21 March 2020
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Authors |
| John A. Lind | |
| Department of Mathematics and
Statistics California State University, Chico Chico, CA United States |
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| Hisham Sati | |
| Department of Mathematics New York University Abu Dhabi Saadiyat Island Abu Dhabi United Arab Emirates |
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| Craig Westerland | |
| School of Mathematics University of Minnesota Minneapolis, MN United States |
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