2000 character limit reached
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.