On the Chern character in Higher Twisted K-theory and spherical T-duality
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(Submitted version)
Date
2021
Authors
MacDonald, L.
Mathai, V.
Saratchandran, H.
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Communications in Mathematical Physics, 2021; 385(1):331-368
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Lachlan Macdonald, Varghese Mathai, Hemanth Saratchandran
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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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Published online: 5May 2021
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© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021