Riemann-Roch and index formulae in twisted K-theory

Details Riemann-Roch and index formulae in twisted K-theory Riemann-Roch and index formulae in twisted K-theory

2009-09-26

arxiv.org/abs/0909.4848v1

Mathematics

K-Theory and Homology

37 pages

Scientific paper

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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