Topological recursion and mirror curves

@article{Bouchard2011TopologicalRA,
  title={Topological recursion and mirror curves},
  author={Vincent Bouchard and Piotr Sułkowski},
  journal={arXiv: High Energy Physics - Theory},
  year={2011}
}
We study the constant contributions to the free energies obtained through the topological recursion applied to the complex curves mirror to toric Calabi-Yau threefolds. We show that the recursion reproduces precisely the corresponding Gromov-Witten invariants, which can be encoded in powers of the MacMahon function. As a result, we extend the scope of the "remodeling conjecture" to the full free energies, including the constant contributions. In the process we study how the pair of pants… 

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