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

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arxiv 1601.06285 v3 pith:JH3RWH27 submitted 2016-01-23 math.AT hep-thmath.KT

classification math.AThep-thmath.KT
keywords k-theoryalgebraicbundlesformiteratedspheret-dualitytheory
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    The M-algebra is shown to be the brane-charge completion of the fully T-doubled super-spacetime, with the Poincaré super 2-form of T-duality lifted to a Poincaré super 3-form.

  2. Six-dimensional gauge theories and (twisted) generalized cohomology

    hep-th 2019-08 conditional novelty 6.0 of 10

    Combining an abelianized Yang-Mills field with its dual in 6D N=(1,0) supergravity yields a class in twisted K-theory, with the B-field as twist.

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