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|Title:||D-Branes, RR-Fields and Duality on Noncommutative Manifolds|
|Citation:||Communications in Mathematical Physics, 2008; 277(3):643-706|
|Jacek Brodzki, Varghese Mathai, Jonathan Rosenberg and Richard J. Szabo|
|Abstract:||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 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.|
|Description:||The original publication is available at www.springerlink.com|
|Appears in Collections:||Aurora harvest 6|
Pure Mathematics publications
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