On the Chern character in Higher Twisted K-theory and spherical T-duality
Differential Geometry
2021-06-23 v2 High Energy Physics - Theory
Mathematical Physics
K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.2007.02507,
title = {On the Chern character in Higher Twisted K-theory and spherical T-duality},
author = {Lachlan Macdonald and Varghese Mathai and Hemanth Saratchandran},
journal= {arXiv preprint arXiv:2007.02507},
year = {2021}
}
Comments
40 pages, revised