# On the Chern Character in Higher Twisted K-Theory and Spherical T-Duality

@article{Macdonald2020OnTC, 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: Differential Geometry}, year={2020} }

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.

#### One Citation

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Higher twisted $K$-theory is an extension of twisted $K$-theory introduced by Ulrich Pennig which captures all of the homotopy-theoretic twists of topological $K$-theory in a geometric way. We give… Expand

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