61 citations · 105 across the 11 of their papers we have counts for
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math.AG2014
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial
Federico Ardila, Erwan Brugalle
We define the double Gromov-Witten invariants of Hirzebruch surfaces in analogy with double Hurwitz numbers, and we prove that they satisfy a piecewise polynomiality property analo…
math.AG2014
Pseudoholomorphic simple Harnack curves
Erwan Brugalle
We give a new proof of Mikhalkin's Theorem on the topological classification of simple Harnack curves, which in particular extends Mikhalkin's result to real pseudoholomorphic curv…
math.AG2014
Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces
Erwan Brugalle
We enumerate, via floor diagrams, complex and real curves in the projective plane blown up in points on a conic. As an application, we deduce Gromov-Witten and Welschinger inva…