On the Chern character in Higher Twisted K-theory and spherical T-duality
arXiv:2007.02507 · doi:10.1007/s00220-021-04096-w
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.
arXiv comment40 pages, revised
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