119 citations · 273 across the 6 of their papers we have counts for
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The spectral curve of the Eynard-Orantin recursion via the Laplace transform
Olivia Dumitrescu, Motohico Mulase, Brad Safnuk +1
The Eynard-Orantin recursion formula provides an effective tool for certain enumeration problems in geometry. The formula requires a spectral curve and the recursion kernel. We pre…
The Kontsevich constants for the volume of the moduli of curves and topological recursion
Kevin M. Chapman, Motohico Mulase, Brad Safnuk
We give an Eynard-Orantin type topological recursion formula for the canonical Euclidean volume of the combinatorial moduli space of pointed smooth algebraic curves. The recursion…
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…