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arXiv · 0909.4848

Riemann-Roch and index formulae in twisted K-theory

Alan L. Carey·Bai-Ling Wang
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Abstract

In this paper, we establish the Riemann-Roch theorem in twisted K-theory extending our earlier results. As an application, we prove a twisted index formula and show that D-brane charges in Type I and Type II string theory are classified by twisted KO-theory and twisted K-theory respectively in the presence of B-fields as proposed by Witten.

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Alan L. Carey, Bai-Ling Wang. 2009-09-26. Riemann-Roch and index formulae in twisted K-theory. https://arxiv.org/abs/0909.4848

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