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arXiv · 1910.07330

Linear Hyperelliptic Hodge Integrals

Adam Afandi
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Abstract

We provide a closed form expression for linear Hodge integrals on the hyperelliptic locus. Specifically, we find a succinct combinatorial formula for all intersection numbers on the hyperelliptic locus with one $\lambda$-class, and powers of a $\psi$-class pulled back along the branch map. This is achieved by using Atiyah-Bott localization on a stack of stable maps into the orbifold $[\mathbb{P}^1/\mathbb{Z}_2]$.

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Adam Afandi. 2019-10-16. Linear Hyperelliptic Hodge Integrals. https://arxiv.org/abs/1910.07330

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