Orbifold Hurwitz numbers and Eynard-Orantin invariants

Published 31 Dec 2012 in math.AG, math-ph, and math.MP | (1212.6850v2)

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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