Poincaré polynomials of stable map spaces to Grassmannians

Abstract

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

10 pages, to appear in Rend. Semin. Mat. Univ. Padova