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

Published 23 Jan 2016 in math.AT, hep-th, and math.KT | (1601.06285v3)

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.

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