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.

中文翻译：

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关于高扭曲的K理论和球形T对偶中的Chern性质

在本文中，我们为同构类产生了更高的扭曲，即更高扭曲的K理论中的Chern特征，它映射为更高扭曲的同调性。我们表明，它在实部上引起了更高扭曲的K理论和更高扭曲的同调性之间的同构。最后，在非常普通的情况下，我们在较高扭曲的K理论和较高扭曲的同调学中计算球面T对偶性。