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On the Chern character in Higher Twisted K-theory and spherical T-duality (2007.02507v2)

Published 6 Jul 2020 in math.DG, hep-th, math-ph, math.KT, and math.MP

Abstract: In this paper, we construct for higher twists that arise from cohomotopy classes, the Chern character in higher twisted K-theory, that maps into higher twisted cohomology. We show that it gives rise to an isomorphism between higher twisted K-theory and higher twisted cohomology over the reals. Finally we compute spherical T-duality in higher twisted K-theory and higher twisted cohomology in very general cases.

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