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Tropical $\psi$ classes

Renzo Cavalieri, Andreas Gross and Hannah Markwig

Geometry & Topology 26 (2022) 3421–3524
DOI: 10.2140/gt.2022.26.3421
Abstract

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

Keywords
tropical geometry, moduli space of curves, tautological classes, psi classes, intersection theory
Mathematical Subject Classification
Primary: 14A20, 14T10
Secondary: 14H10
References
Publication
Received: 23 August 2020
Revised: 5 July 2021
Accepted: 5 August 2021
Published: 16 March 2023
Proposed: Dan Abramovich
Seconded: Richard P Thomas, Mark Gross
Authors
Renzo Cavalieri
Department of Mathematics
Colorado State University
Fort Collins, CO
United States
Andreas Gross
Department of Mathematics
Colorado State University
Fort Collins, CO
United States
Institut für Mathematik
Goethe-Universität Frankfurt
Frankfurt am Main
Germany
Hannah Markwig
Fachbereich Mathematik
Eberhard Karls Universität Tübingen
Tübingen
Germany