manuscripta mathematica

, Volume 129, Issue 3, pp 293-335

Tropical descendant Gromov–Witten invariants

Authors

    • Courant Research Center “Higher Order Structures in Mathematics”Georg-August-Universität Göttingen
  • Johannes Rau
    • Fachbereich MathematikTechnische Universität Kaiserslautern

DOI: 10.1007/s00229-009-0256-5

Abstract

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

Open Access

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Copyright information

© The Author(s) 2009