Double ramification cycles and the $n$-point function for the moduli space of curves

TL;DR

This paper derives a new explicit formula for the $n$-point function of intersection numbers on the moduli space of curves, utilizing recent formulas for integrals over double ramification cycles.

Contribution

It introduces a novel explicit formula for the $n$-point function based on recent developments in double ramification cycle integrals.

Findings

New explicit formula for the $n$-point function

Utilizes recent integral formulas for double ramification cycles

Advances understanding of intersection numbers on moduli space

Abstract

In this paper, using the formula for the integrals of the $\psi$-classes over the double ramification cycles found by S. Shadrin, L. Spitz, D. Zvonkine and the author, we derive a new explicit formula for the $n$-point function of the intersection numbers on the moduli space of curves.