2007/09/30 by J. Brodzki, J Brodzki, V Mathai +5
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Categorical variable #Duality (order theory) #Homotopy and Cohomology in Algebraic Topology #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #String (physics) #Worldsheet #hep-th #math.KT
paper · pdf · doi:10.1088/1742-6596/103/1/012004
published as J.Phys.Conf.Ser.103:012004,2008 · 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
arxiv created 2007/10/15 · openalex publication_date 2008/02/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.