Poincaré polynomials of stable map spaces to Grassmannians

Abstract

In this paper, we give generating functions for the Betti numbers of $\overline{M}{_{0,0}({{G}(k,n)},d)}$ , the moduli stack of zero pointed genus zero degree $d$ stable maps to the Grassmannian ${{G}(k,n)}$ for $d=2$ and $3$.