D-branes, KK-theory and duality on noncommutative spaces
arXiv:0709.2128 · doi:10.1088/1742-6596/103/1/012004
Abstract
We present a new categorical classification framework for D-brane charges on noncommutative manifolds using methods of bivariant K-theory. We describe several applications including an explicit formula for D-brane charge in cyclic homology, a refinement of open string T-duality, and a general criterion for cancellation of global worldsheet anomalies.
13 pages; v2: typos corrected; Based on invited talks given by R.J.S. at the International Conferences ``Noncommutative Spacetime Geometries'', March 26-31, 2007, Alessandria, Italy, and ``Noncommutative Geometry and Physics'', April 23-27, 2007, Orsay, France. To be published in Journal of Physics Conference Series
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