Two Lectures on D-Geometry and Noncommutative Geometry

1999/01/27 by Michael R. Douglas, Douglas, Michael R. · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9901146

LaTeX, 26 pp. Added reference

openalex publication_date 1999/01/27 · arxiv created 1999/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a write-up of lectures given at the 1998 Spring School at the Abdus Salam ICTP. We give a conceptual introduction to D-geometry, the study of geometry as seen by D-branes in string theory, and to noncommutative geometry as it has appeared in D-brane and Matrix theory physics.

Cited by

• Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint
• Transformation of algebraic Gromov-Witten invariants of three-folds under flops and small extremal transitions, with an appendix from the stringy and the symplectic viewpoint

Related

• Azumaya noncommutative geometry and D-branes - an origin of the master nature of D-branes
• Lectures on Noncommutative Geometry
• Lectures on Strings, D-branes and Gauge Theories
• Lectures on Arithmetic Noncommutative Geometry
• MSc Thesis: Presentation of Certain New Trends in Noncommutative Geometry