Tropical $\psi$ classes
Renzo Cavalieri, Andreas Gross, Hannah Markwig

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 classes for moduli spaces of tropical curves of arbitrary genus. We prove correspondence theorems between algebraic and tropical classes for some one-dimensional families of genus-one tropical curves.
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Taxonomy
TopicsPolynomial and algebraic computation · Algebraic Geometry and Number Theory · Nonlinear Waves and Solitons
