| # |
| ||
| Penrose Transform | Geometrical Langlands Correspondences (Cycles and Co-cycles) | Geometrical Picture | |
| 1 | Penrose-Radon Transform | Orbifolds | CY-Manifolds |
| 2 | Penrose-Ward Transforma |
| Hyper-plane Twistor Space |
| 3 | Classic Penrose Transform |
| Celestial Spheres |
| 4 | Penrose-Schmid Transform |
|
Sub-manifolds |
| 5 | Classic Penrose Transform |
| Space-Time (Minkowski Space) |
| 5 | Radon Transform |
| Hyperbolic Disk |