Intersections of 𝜓-classes on \overline{𝑀}_{1,𝑛}(𝑚)

Smyth, David

doi:10.1090/tran/7869

Intersections of $\psi$-classes on $\overline {M}_{1,n}(m)$
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Trans. Amer. Math. Soc. 372 (2019), 8679-8707 Request permission

Abstract:

We explain how to compute top-dimensional intersections of $\psi$-classes on $\overline {M}_{1,n}(m)$, the moduli space of $m$-stable curves. On the spaces $\overline {M}_{1,n}$, these intersection numbers are determined by two recursions, namely, the string equation and dilaton equation. We establish, for each fixed $m \geq 1$, an analogous pair of recursions that determine these intersection numbers on the spaces $\overline {M}_{1,n}(m)$.

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