2009/09/26 by Alan L. Carey, Carey, Alan L., Bai‐Ling Wang +1
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.0909.4848
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.