  We prove formulas (found by Witten in 1992 using physical methods) for
intersection pairings in the cohomology of the moduli space M(n,d) of stable
holomorphic vector bundles of rank n and degree d (assumed coprime) on a
Riemann surface of genus g greater than or equal to 2. We also use these
formulas for intersection numbers to obtain a proof of the Verlinde formula for
the dimension of the space of holomorphic sections of a line bundle over
M(n,d).
