manuscripta mathematica

, Volume 129, Issue 3, pp 293–335 | Cite as

Tropical descendant Gromov–Witten invariants

Open Access
Article

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 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2009

Authors and Affiliations

  1. 1.Courant Research Center “Higher Order Structures in Mathematics”Georg-August-Universität GöttingenGöttingenGermany
  2. 2.Fachbereich MathematikTechnische Universität KaiserslauternKaiserslauternGermany

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