On the Chern character in Higher Twisted K-theory and spherical T-duality

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.

40 pages, revised

References in corpus (4)

• On the Topology and Flux of T-Dual Manifolds
• Spherical T-Duality
• Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles
• The Holonomy Groupoids of Singularly Foliated Bundles

Cited by in corpus (1)

• Bundles of strongly self-absorbing $C^{\ast }$-algebras with a Clifford grading