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

  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},
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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