Relative Gromov-Witten invariants and tropical geometry -- Andreas Gathmann

In complex geometry Caporaso and Harris have shown that the theory of relative Gromov-Witten invariants can be used to compute the numbers of plane curves of given genus g and degree d passing through 3d+g-1 general points. We will show how this result can be reinterpreted and reproven in the language of tropical geometry.