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math.AG2016
A graphical interface for the Gromov--Witten theory of curves
Renzo Cavalieri, Paul Johnson, Hannah Markwig +1
We explore the explicit relationship between the descendant Gromov--Witten theory of target curves, operators on Fock spaces, and tropical curve counting. We prove a classical/trop…
math.AG2013
Hurwitz numbers, ribbon graphs, and tropicalization
Paul Johnson
Double Hurwitz numbers have at least four equivalent definitions. Most naturally, they count covers of the Riemann sphere by genus g curves with certain specified ramification data…