Intersection numbers on Grassmannians, and on the space of holomorphic maps from CP1 into G(r)(C-n)

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 Grassmanni an are a first-step generalization of the Schubert formula for the self-int ersection. The intersection numbers on the moduli space for r = 2, 3 are gi ven 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, (C) 2001 Elsevier Science B,V. All rights reserved.