Orbifold Hurwitz numbers and Eynard-Orantin invariants

  title={Orbifold Hurwitz numbers and Eynard-Orantin invariants},
  author={Norman Do and Oliver H. G. Leigh and Paul T. Norbury},
  journal={Mathematical Research Letters},
We prove that a generalisation of simple Hurwitz numbers due to Johnson, Pandharipande and Tseng satisfy the topological recursion of Eynard and Orantin. This generalises the Bouchard-Marino conjecture and places Hurwitz-Hodge integrals, which arise in the Gromov--Witten theory of target curves with orbifold structure, in the context of the Eynard-Orantin topological recursion. 

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