22 citations · 23 across the 2 of their papers we have counts for
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math.AG2005
Kontsevich's formula and the WDVV equations in tropical geometry
Andreas Gathmann, Hannah Markwig
Using Gromov-Witten theory the numbers of complex plane rational curves of degree d through 3d-1 general given points can be computed recursively with Kontsevich's formula that fol…
math.AG2005
The Caporaso-Harris formula and plane relative Gromov-Witten invariants in tropical geometry
Andreas Gathmann, Hannah Markwig
Some years ago Caporaso and Harris have found a nice way to compute the numbers N(d,g) of complex plane curves of degree d and genus g through 3d+g-1 general points with the help o…
math.AG2005
The numbers of tropical plane curves through points in general position
Andreas Gathmann, Hannah Markwig
We show that the number of tropical curves of given genus and degree through some given general points in the plane does not depend on the position of the points. In the case when…