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 (5)

• Twisted K-theory and loop group representations
• Twisted K-theory and loop groups
• Twisted K-theory, old and new
• 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

Cited by in corpus (1)

• Geometric cycles, index theory and twisted K-homology