Betti numbers of stable map spaces to Grassmannians

Massimo Bagnarol

Mathematische Nachrichten, 2022, vol. 295, issue 10, 1869-1900

Abstract: Let M¯0,n(G(r,V),d)$\overline{M}_{0,n}(G(r,V), d)$ be the coarse moduli space of stable degree d maps from n‐pointed genus 0 curves to a Grassmann variety G(r,V)$G(r,V)$. We provide a recursive method for the computation of the Hodge numbers and the Betti numbers of M¯0,n(G(r,V),d)$\overline{M}_{0,n}(G(r,V), d)$ for all n and d. Our method is a generalization of Getzler and Pandharipande's work for maps to projective spaces.

Date: 2022
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