  We show that intersection numbers on the moduli space of stable bundles of
coprime rank and degree over a smooth complex curve can be recovered as
highest-degree asymptotics in formulas of Vafa-Intriligator type. In
particular, we explicitly evaluate all intersection numbers appearing in the
Verlinde formula. Our results are in agreement with previous computations of
Witten, Jeffrey-Kirwan and Liu. Moreover, we prove the vanishing of certain
intersections on a suitable Quot scheme which can be interpreted as giving
equations between counts of maps to the Grassmannian.
