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
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