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Twisted iterated algebraic K-theory and topological T-duality for sphere bundles
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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.
Forward citations
Cited by 2 Pith papers
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Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory
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.
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Six-dimensional gauge theories and (twisted) generalized cohomology
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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