Explicit Computations for the Intersection Numbers on Grassmannians, and on the Space of Holomorphic Maps from CP^1 into G_r(C^n)
| dc.creator | Chair, Noureddine | |
| dc.date | 1998-08-27 | |
| dc.date.accessioned | 2026-07-07T04:24:58Z | |
| dc.date.available | 2026-07-07T04:24:58Z | |
| dc.description | We derive some explicit expressions for correlators on Grassmannian G_r(C^n) as well as on the moduli space of holomorphic maps, of a fixed degree d, from sphere into the Grassmannian. Correlators obtained on the Grassmannain are a first step generalization of the Schubert formula for the self-intersection. The intersection numbers on the moduli space for r=2,3 are given explicitly by two closed formulas, when r=2 the intersection numbers, are found to generate the alternate Fibonacci numbers, the Pell numbers and in general a random walk of a particle on a line with absorbing barriers. For r=3 the intersection numbers form a well organized pattern. | |
| dc.description | 16 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9808170 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9808170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55621 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Explicit Computations for the Intersection Numbers on Grassmannians, and on the Space of Holomorphic Maps from CP^1 into G_r(C^n) | |
| dc.type | text |