We consider the Quot scheme, R_{ d}, compactifying the space of degree d maps from the projective line to the Grassmannian of lines. We give an algorithm for computing the degree of R_{ d} under a "generalized Pl\"ucker embedding", this is a certain Gromov-Witten invariant. The approach is to apply the Atiyah-Bott localization formula for the natural C^{ *}-action on R_{ d}. These numbers can be obtained directly from Vafa-Intriligator formula.
Categories: math.AG