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.
Original language | English (US) |
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Pages (from-to) | 1-42 |
Number of pages | 42 |
Journal | Annals of K-Theory |
Volume | 5 |
Issue number | 1 |
DOIs | |
State | Published - 2020 |
Keywords
- Iterated algebraic K-theory
- N-gerbes
- T-duality
- Twisted K-theory
ASJC Scopus subject areas
- Analysis
- Geometry and Topology