120 citations · 343 across the 55 of their papers we have counts for
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math.AG2013★ 23 cited
Tropical mirror symmetry for elliptic curves
Janko Boehm, Kathrin Bringmann, Arne Buchholz +1
Mirror symmetry relates Gromov-Witten invariants of an elliptic curve with certain integrals over Feynman graphs. We prove a tropical generalization of mirror symmetry for elliptic…
math.AG2013★ 6 cited
Tropical covers of curves and their moduli spaces
Arne Buchholz, Hannah Markwig
We define the tropical moduli space of covers of a tropical line in the plane as weighted abstract polyhedral complex, and the tropical branch map recording the images of the simpl…
math.AG2013
Deformation of tropical Hirzebruch surfaces and enumerative geometry
Erwan Brugalle, Hannah Markwig
We illustrate the use of tropical methods by generalizing a formula due to Abramovich and Bertram, extended later by Vakil. Namely, we exhibit relations between enumerative invaria…