Differential Twisted K-theory and Applications

Abstract

In this paper, we develop differential twisted K-theory and define a twisted Chern character on twisted K-theory which depends on a choice of connection and curving on the twisting gerbe. We also establish the general Riemann-Roch theorem in twisted K-theory and find some applications in the study of twisted K-theory of compact simple Lie groups.

32 page. Thoroughly revised to improve the exposition

References in corpus (13)

• Twisted K-theory and K-theory of bundle gerbes
• WZW branes and gerbes
• Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories
• Twisted K-theory and loop group representations
• Chern character in twisted K-theory: equivariant and holomorphic cases
• Twisted K-theory and loop groups
• An illustrated guide to D-branes in SU(3)
• Fusion of symmetric $D$-branes and Verlinde rings
• Twisted K-theory, old and new
• Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case
• Twisted conjugacy classes, coadjoint orbits of loop groups and D-branes in the WZW-model
• An approach toward a finite-dimensional definition of twisted K-theory
• Supersymmetric WZW models and twisted K-theory of SO(3)

Cited by in corpus (4)

• Ramond-Ramond Fields, Fractional Branes and Orbifold Differential K-Theory
• Ramond-Ramond fields and twisted differential K-theory
• Geometric Aspects of D-branes and T-duality
• Geometric cycles, index theory and twisted K-homology