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arXiv · 0809.1102

Tropical descendant Gromov-Witten invariants

Hannah Markwig·Johannes Rau
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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.

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Hannah Markwig, Johannes Rau. 2009-11-29. Tropical descendant Gromov-Witten invariants. https://doi.org/10.1007/s00229-009-0256-5

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