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

John A. Lind, Hisham Sati, Craig Westerland

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)1-42
Number of pages42
JournalAnnals of K-Theory
Volume5
Issue number1
DOIs
StatePublished - 2020

Keywords

  • Iterated algebraic K-theory
  • N-gerbes
  • T-duality
  • Twisted K-theory

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

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