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Title of Journal: manuscripta math

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Abbravation: manuscripta mathematica

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Springer-Verlag

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10.1002/ana.410190506

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1432-1785

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Tropical descendant Gromov–Witten invariants

Authors: Hannah Markwig Johannes Rau
Publish Date: 2009/03/17
Volume: 129, Issue: 3, Pages: 293-335
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Abstract

We define tropical Psiclasses onmathcalM 0nmathbbR2 d and consider intersection products of Psiclasses and pullbacks 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 conditionsThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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  1. A stability criterion for nonparametric minimal submanifolds
  2. Harmonic maps and asymptotic Teichmüller space
  3. On the backward uniqueness property for the heat equation in two-dimensional conical domains
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  12. Extending Elliptic Curve Chabauty to higher genus curves
  13. The Sp 3 -grassmannian and duality for prime Fano threefolds of genus 9
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  17. Cut loci and conjugate loci on Liouville surfaces
  18. A sphere theorem on locally conformally flat even-dimensional manifolds
  19. On the class numbers of certain Hilbert class fields
  20. The zeros of certain weakly holomorphic Drinfeld modular forms
  21. Icosahedral representations and elliptic curves
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  23. Perversité et variation
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