1212.6850 (Norman Do et al.)

Orbifold Hurwitz numbers and Eynard-Orantin invariants    [PDF]

Norman Do, Oliver Leigh, Paul Norbury

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.

View original: http://arxiv.org/abs/1212.6850