• DOI:10.1090/pspum/078/2483754
Corpus ID: 15991151

Hurwitz numbers, matrix models and enumerative geometry

@article{Bouchard2007HurwitzNM,
  title={Hurwitz numbers, matrix models and enumerative geometry},
  author={V. Bouchard and M. Mari{\~n}o},
  journal={arXiv: Algebraic Geometry},
  year={2007}
}

• V. Bouchard, M. Mariño
• Published 2007
• Mathematics, Physics
• arXiv: Algebraic Geometry

We propose a new, conjectural recursion solution for Hurwitz numbers at all genera. This conjecture is based on recent progress in solving type B topological string theory on the mirrors of toric Calabi-Yau manifolds, which we briefly review to provide some background for our conjecture. We show in particular how this B-model solution, combined with mirror symmetry for the one-leg, framed topological vertex, leads to a recursion relation for Hodge integrals with three Hodge class insertions… Expand

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