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01089 am a22001573u 4500 |
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49723 |
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|a Brodzki, Jacek
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|a Mathai, Varghese
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|a Rosenberg, Jonathan
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|a Szabo, Richard J.
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|a D-branes, RR-fields and duality on noncommutative manifolds
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|c 2008-02-05.
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|z Get fulltext
|u https://eprints.soton.ac.uk/49723/1/BrodzkiMathaiRosenbergSzaboCMP.pdf
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|a We 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 noncom4 mutative 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 K-theory and cyclic theory, which are simplified using a novel diagram calculus reminiscent of Feynman diagrams.
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