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arXiv · 1212.6850

Orbifold Hurwitz numbers and Eynard-Orantin invariants

Norman Do·Oliver Leigh·Paul Norbury
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Abstract

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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Norman Do, Oliver Leigh, Paul Norbury. 2012-12-31. Orbifold Hurwitz numbers and Eynard-Orantin invariants. https://doi.org/10.4310/mrl.2016.v23.n5.a3

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