Following Faber–Pandharipande, we use the virtual localization formula for the moduli space of stable maps to $\mathbb {P}^{1}$ to compute relations between Hodge integrals. We prove that certain generating series of these integrals are polynomials.

中文翻译：

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通过稳定映射的二次 Hodge 积分的关系

遵循 Faber–Pandharipande，我们使用稳定映射模空间的虚拟定位公式到$\mathbb {P}^{1}$来计算 Hodge 积分之间的关​​系。我们证明这些积分的某些生成级数是多项式。