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Tropical $\psi$
classes
Renzo Cavalieri, Andreas Gross and Hannah Markwig |
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Geometry & Topology 26 (2022) 3421–3524
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DOI: 10.2140/gt.2022.26.3421
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Abstract |
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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. |
Keywords
tropical geometry, moduli space of curves, tautological
classes, psi classes, intersection theory
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Mathematical Subject Classification
Primary: 14A20, 14T10
Secondary: 14H10
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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
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Authors |
| Renzo Cavalieri | |
| Department of Mathematics Colorado State University Fort Collins, CO United States |
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| 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 |
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