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Differential twisted K-theory and applications
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2009 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, E-ISSN 1879-1662, Vol. 59, no 5, 632-653 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2009. Vol. 59, no 5, 632-653 p.
Keyword [en]
Differential twisted K-theory, Chern character, D-brane charges
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-32164DOI: 10.1016/j.geomphys.2009.02.002ISI: 000266129800005Scopus ID: 2-s2.0-63749092298OAI: oai:DiVA.org:kth-32164DiVA: diva2:409361
Note
QC 20110408Available from: 2011-04-08 Created: 2011-04-07 Last updated: 2017-12-11Bibliographically approved

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