Intersecting Psi-classes on tropical M_{0,n}

TL;DR

This paper uses tropical intersection theory to compute intersection numbers of Psi-classes on the moduli space of rational tropical curves, confirming they match algebraic geometry results for zero-dimensional intersections.

Contribution

It applies tropical intersection theory to compute Psi-class intersections and verifies their agreement with classical algebraic geometry results.

Findings

Tropical intersection numbers match algebraic geometry for zero-dimensional cases

Application of tropical intersection theory to moduli spaces of rational curves

Confirmation of consistency between tropical and algebraic intersection numbers

Abstract

We apply the tropical intersection theory developed by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical curves. We show that in the case of zero-dimensional (stable) intersections, the resulting numbers agree with the intersection numbers of Psi-classes on the moduli space of n-marked rational curves computed in algebraic geometry.