Riemann-Roch and index formulae in twisted K-theory
K-Theory and Homology
2009-09-29 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0909.4848,
title = {Riemann-Roch and index formulae in twisted K-theory},
author = {Alan L. Carey and Bai-Ling Wang},
journal= {arXiv preprint arXiv:0909.4848},
year = {2009}
}
Comments
37 pages