Betti numbers of stable map spaces to Grassmannians

Massimo Bagnarol

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arXiv · 1911.05674

Betti numbers of stable map spaces to Grassmannians

Massimo Bagnarol

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Abstract

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

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BibTeX RIS

Massimo Bagnarol. 2019-11-13. Betti numbers of stable map spaces to Grassmannians. https://arxiv.org/abs/1911.05674

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