T-duality and Differential K-Theory
arXiv:0912.2516 · doi:10.1142/S0219199713500144
Abstract
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.
23 pages, typos corrected, submitted to Comm.Math.Phys