Tropical descendant Gromov-Witten invariants

Abstract

We define tropical Psi-classes on the moduli space of rational tropical curves in R^2 and consider intersection products of Psi-classes and pull-backs of evaluations on this space. We show a certain WDVV equation which is sufficient to prove that tropical numbers of curves satisfying certain Psi- and evaluation conditions are equal to the corresponding classical numbers. We present an algorithm that generalizes Mikhalkin's lattice path algorithm and counts rational plane tropical curves satisfying certain Psi- and evaluation conditions.

33 pages, 14 Postscript figures; minor changes to fit the published version

References in corpus (1)

• Tropical fans and the moduli spaces of tropical curves

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• Intersection Theory on Tropicalizations of Toroidal Embeddings
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• On rational equivalence in tropical geometry
• Refined descendant invariants of toric surfaces
• Intersections on tropical moduli spaces
• Scattering diagrams, theta functions, and refined tropical curve counts
• Three dimensional tropical correspondence formula
• The tropical Poincaré-Hopf theorem