Orbifold Hurwitz numbers and Eynard-Orantin invariants
Algebraic Geometry
2019-07-02 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1212.6850,
title = {Orbifold Hurwitz numbers and Eynard-Orantin invariants},
author = {Norman Do and Oliver Leigh and Paul Norbury},
journal= {arXiv preprint arXiv:1212.6850},
year = {2019}
}
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29 pages