Differential twisted K-theory and applications

Alan L. Carey; Jouko Mickelsson; Bai Ling Wang

doi:10.1016/j.geomphys.2009.02.002

Differential twisted K-theory and applications

Alan L. Carey, Jouko Mickelsson, Bai Ling Wang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

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.

Original language	English
Pages (from-to)	632-653
Number of pages	22
Journal	Journal of Geometry and Physics
Volume	59
Issue number	5
DOIs	https://doi.org/10.1016/j.geomphys.2009.02.002
Publication status	Published - May 2009

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10.1016/j.geomphys.2009.02.002

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title = "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.",

keywords = "Chern character, D-brane charges, Differential twisted K-theory",

author = "Carey, {Alan L.} and Jouko Mickelsson and Wang, {Bai Ling}",

year = "2009",

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TY - JOUR

T1 - Differential twisted K-theory and applications

AU - Carey, Alan L.

AU - Mickelsson, Jouko

AU - Wang, Bai Ling

PY - 2009/5

Y1 - 2009/5

N2 - 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.

AB - 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.

KW - Chern character

KW - D-brane charges

KW - Differential twisted K-theory

UR - http://www.scopus.com/inward/record.url?scp=63749092298&partnerID=8YFLogxK

U2 - 10.1016/j.geomphys.2009.02.002

DO - 10.1016/j.geomphys.2009.02.002

M3 - Article

SN - 0393-0440

VL - 59

SP - 632

EP - 653

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 5

ER -

Differential twisted K-theory and applications

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