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Differential twisted K-theory and applications

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Carey, Alan; Wang, Bai-Ling; Mickelsson, Jouko Armas

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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.

dc.contributor.authorCarey, Alan
dc.contributor.authorWang, Bai-Ling
dc.contributor.authorMickelsson, Jouko Armas
dc.date.accessioned2015-12-07T22:51:14Z
dc.identifier.issn0393-0440
dc.identifier.urihttp://hdl.handle.net/1885/27372
dc.description.abstractIn 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.
dc.publisherElsevier
dc.sourceJournal of Geometry and Physics
dc.subjectKeywords: Chern character; D-brane charges; Differential twisted K-theory
dc.titleDifferential twisted K-theory and applications
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume59
dc.date.issued2009
local.identifier.absfor010112 - Topology
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.ariespublicationu9209279xPUB50
local.type.statusPublished Version
local.contributor.affiliationCarey, Alan, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationWang, Bai-Ling, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationMickelsson, Jouko Armas, University of Helsinki
local.description.embargo2037-12-31
local.bibliographicCitation.startpage632
local.bibliographicCitation.lastpage653
local.identifier.doi10.1016/j.geomphys.2009.02.002
dc.date.updated2016-02-24T11:54:51Z
local.identifier.scopusID2-s2.0-63749092298
local.identifier.thomsonID000266129800005
CollectionsANU Research Publications

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