An effective recursion formula for computing intersection numbers

2007/10/29 by Kefeng Liu, Hao Xu, Liu, Kefeng +1
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0710.5322

openalex publication_date 2007/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a new effective recursion formula for computing all intersection indices (integrals of ψ classes) on the moduli space of curves, inducting only on the genus.

Related

• Topological recursion for open intersection numbers
• Calculating intersection numbers on moduli spaces of pointed curves
• Intersections of psi-classes on moduli spaces of m-stable curves
• Integration on moduli spaces of stable curves through localization
• Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians