119 citations · 273 across the 6 of their papers we have counts for
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math.AG2009★ 27 cited
The Laplace transform of the cut-and-join equation and the Bouchard-Marino conjecture on Hurwitz numbers
Bertrand Eynard, Motohico Mulase, Brad Safnuk
We calculate the Laplace transform of the cut-and-join equation of Goulden, Jackson and Vakil. The result is a polynomial equation that has the topological structure identical to t…
math-ph2009★ 119 cited
A matrix model for simple Hurwitz numbers, and topological recursion
G. Borot, B. Eynard, M. Mulase +1
We introduce a new matrix model representation for the generating function of simple Hurwitz numbers. We calculate the spectral curve of the model and the associated symplectic inv…