Intersections of psi-classes on moduli spaces of m-stable curves

2018/08/09 by David Ishii Smyth, Smyth, David Ishii
Mathematics · #14H10 #14H70 #14N35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1808.03214

openalex publication_date 2018/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain how to compute top-dimensional intersections of psi-classes on moduli spaces of m-stable curves. On the moduli spaces of Deligne-Mumford stable pointed curves of genus one, these intersection numbers are determined by two recursions, namely the string equation and the dilaton equation. We establish, for each integer m>0, an analogous pair of recursions which determine these intersection numbers on the moduli spaces of m-stable pointed curves of genus one.

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• Calculating intersection numbers on moduli spaces of pointed curves
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• Intersections of ψ classes on Hassett Spaces for genus 0 with all weights (1)/(2)