Riemann-Roch and index formulae in twisted K-theory
نویسندگان
چکیده
In this paper, we establish the Riemann-Roch theorem in twisted K-theory extending our earlier results. We also give a careful summary of twisted geometric cycles explaining in detail some subtle points in the theory. 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. CONTENTS
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