T-duality and Differential K-Theory

Mathematics – K-Theory and Homology

Scientific paper

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23 pages, typos corrected, submitted to Comm.Math.Phys

Scientific paper

We give a precise formulation of T-duality for Ramond-Ramond fields. This
gives a canonical isomorphism between the "geometrically invariant" subgroups
of the twisted differential K-theory of certain principal torus bundles. Our
result combines topological T-duality with the Buscher rules found in physics.

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