D-Branes, RR-Fields and Duality on Noncommutative Manifolds

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dc.contributor.authorBrodzki, J.
dc.contributor.authorVarghese, M.
dc.contributor.authorRosenberg, J.
dc.contributor.authorSzabo, R.
dc.date.issued2008
dc.descriptionThe original publication is available at www.springerlink.com
dc.description.abstractWe develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane charges. This formula is closely related to a noncommutative Grothendieck-Riemann-Roch theorem that is proved here. Our approach relies on a very general form of Poincaré duality, which is studied here in detail. Among the technical tools employed are calculations with iterated products in bivariant -theory and cyclic theory, which are simplified using a novel diagram calculus reminiscent of Feynman diagrams.
dc.description.statementofresponsibilityJacek Brodzki, Varghese Mathai, Jonathan Rosenberg and Richard J. Szabo
dc.identifier.citationCommunications in Mathematical Physics, 2008; 277(3):643-706
dc.identifier.doi10.1007/s00220-007-0396-y
dc.identifier.issn0010-3616
dc.identifier.issn1432-0916
dc.identifier.orcidVarghese, M. [0000-0002-1100-3595]
dc.identifier.urihttp://hdl.handle.net/2440/40234
dc.language.isoen
dc.publisherSpringer
dc.source.urihttp://www.springerlink.com/content/r312820625815453/
dc.titleD-Branes, RR-Fields and Duality on Noncommutative Manifolds
dc.typeJournal article
pubs.publication-statusPublished

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