manuscripta mathematica

, Volume 129, Issue 3, pp 293-335

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Tropical descendant Gromov–Witten invariants

  • Hannah MarkwigAffiliated withCourant Research Center “Higher Order Structures in Mathematics”, Georg-August-Universität Göttingen Email author 
  • , Johannes RauAffiliated withFachbereich Mathematik, Technische Universität Kaiserslautern


We define tropical Psi-classes on\({\mathcal{M}_{0,n}(\mathbb{R}^2, d)}\) 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.

Mathematics Subject Classification (2000)

Primary 14N35 52B20