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Type: Journal article
Title: On the Chern character in Higher Twisted K-theory and spherical T-duality
Author: MacDonald, L.
Mathai, V.
Saratchandran, H.
Citation: Communications in Mathematical Physics, 2021; 385(1):331-368
Publisher: Springer-Verlag
Issue Date: 2021
ISSN: 0010-3616
Statement of
Lachlan Macdonald, Varghese Mathai, Hemanth Saratchandran
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.
Keywords: D-branes; higher twisted K-theory; higher twisted cohomology; Chern character; spherical T-duality; Cuntz algebras; cohomotopy
Description: Published online: 5May 2021
Rights: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021
DOI: 10.1007/s00220-021-04096-w
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