D-branes and bivariant K-theory
| dc.creator | Szabo, Richard J. | |
| dc.date | 2008-09-17 | |
| dc.date.accessioned | 2026-07-07T10:03:40Z | |
| dc.date.available | 2026-07-07T10:03:40Z | |
| dc.description | We review various aspects of the topological classification of D-brane charges in K-theory, focusing on techniques from geometric K-homology and Kasparov's KK-theory. The latter formulation enables an elaborate description of D-brane charge on large classes of noncommutative spaces, and a refined characterization of open string T-duality in terms of correspondences and KK-equivalence. The examples of D-branes on noncommutative Riemann surfaces and in constant H-flux backgrounds are treated in detail. Mathematical constructions include noncommutative generalizations of Poincare duality and K-orientation, characteristic classes, and the Riemann-Roch theorem. | |
| dc.description | 45 pages; Based on invited lectures given at the workshop "Noncommutative Geometry and Physics 2008 - K-Theory and D-Brane -", February 18-22 2008, Shonan Village Center, Kanagawa, Japan. To be published in the volume Noncommutative Geometry and Physics III by World Scientific | |
| dc.identifier | https://arxiv.org/abs/0809.3029 | |
| dc.identifier | http://arxiv.org/abs/0809.3029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169375 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | K-Theory and Homology | |
| dc.title | D-branes and bivariant K-theory | |
| dc.type | text |