Tropical descendant Gromov-Witten invariants

Details Tropical descendant Gromov-Witten invariants Tropical descendant Gromov-Witten invariants

2008-09-08

arxiv.org/abs/0809.1102v2

Manuscripta Mathematica, volume 129, issue 3 (2009), 293-335

Mathematics

Algebraic Geometry

33 pages, 14 Postscript figures; minor changes to fit the published version

Scientific paper

10.1007/s00229-009-0256-5

We define tropical Psi-classes on the moduli space of rational tropical curves in R^2 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.

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