(07007) Effective recursion formulae for computing intersection numbers

来源:数学科学研究中心

Abstracts

This paper should be considered as a sequel to our previous paper on $n$-point functions of intersection numbers \cite{LX}. Here we prove several new effective recursion formulae for computing all intersection indices (integrals of $\psi$ classes) on the moduli space of curves, inducting only on the genus. We also prove an improved recursion formula of $n$-point functions.

 

The package "psRecursion.rar" contains a Maple program to compute intersection indices implementing the recursion formula in Theorem 1.2 of the above paper.

 

  • PsiRecursion.pdf
  • psRecursion.rar