The spectral curve of the Eynard-Orantin recursion via the Laplace transform

  title={The spectral curve of the Eynard-Orantin recursion via the Laplace transform},
  author={Olivia Dumitrescu and Motohico Mulase and Brad Safnuk and Adam M. Sorkin},
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 present a uniform construction of the spectral curve and the recursion kernel from the unstable geometries of the original counting problem. We examine this construction using four concrete examples: Grothendieck’s dessins d’enfants (or higher-genus analogue of the Catalan numbers), the intersection numbers of… CONTINUE READING
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