Tropical $\psi$ classes

TL;DR

This paper develops a tropical geometric framework to define and analyze $ ext{psi}$ classes on moduli spaces of tropical curves, establishing correspondence with algebraic classes in certain genus-one cases.

Contribution

It introduces a novel tropical geometric approach to define $ ext{psi}$ classes for arbitrary genus tropical curves and proves correspondence theorems with algebraic classes.

Findings

Defined $ ext{psi}$ classes in tropical geometry for arbitrary genus

Established correspondence theorems for genus-one tropical curves

Bridged tropical and algebraic $ ext{psi}$ classes in specific cases

Abstract

We introduce a tropical geometric framework that allows us to define $\psi$ classes for moduli spaces of tropical curves of arbitrary genus. We prove correspondence theorems between algebraic and tropical $\psi$ classes for some one-dimensional families of genus-one tropical curves.