Tropical descendant Gromov-Witten invariants

Hannah Markwig, Johannes Rau · 2008

ABSTRACT. We define tropical Psi-classes on M0,n(R 2, d) and consider intersection products of Psiclasses 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. 1.

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