46 citations · 191 across the 22 of their papers we have counts for
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math.GT2013★ 3 cited
Pruned Hurwitz numbers
Norman Do, Paul Norbury
We define a new Hurwitz problem which is essentially a small core of the simple Hurwitz problem. The corresponding Hurwitz numbers have simpler formulae, satisfy effective recursio…
math.GT2013★ 9 cited
Quantum curves for the enumeration of ribbon graphs and hypermaps
Norman Do, David Manescu
The topological recursion of Eynard and Orantin governs a variety of problems in enumerative geometry and mathematical physics. The recursion uses the data of a spectral curve to d…
math.AG2013★ 46 cited
Orbifold Hurwitz numbers and Eynard-Orantin invariants
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 Bouch…