Two Lectures on D-Geometry and Noncommutative Geometry

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.

LaTeX, 26 pp. Added reference

Cited by in corpus (21)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Dirichlet branes, homological mirror symmetry, and stability
• Renormalization of Quantum Field Theories on Noncommutative R^d, I. Scalars
• Perturbative quantum gauge fields on the noncommutative torus
• Noncommutative Tachyons and K-Theory
• Noncommutative geometry and physics: a review of selected recent results
• Fuzzy Cosets and their Gravity Duals
• A Point's Point of View of Stringy Geometry
• Noncommutative Solitons on Orbifolds
• Matrix Strings in Weakly Curved Background Fields
• Noncommutative Geometry for Pedestrians
• Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint
• Holomorphic Tachyons and Fractional D-branes
• D1D5 System and Noncommutative Geometry
• Perturbative BF-Yang-Mills theory on noncommutative R^4
• D-branes on Group Manifolds and Deformation Quantization
• Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
• 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
• Black holes and balanced metrics
• Lectures on Strings, D-branes and Gauge Theories