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20062023
most citedOrbifold Hurwitz numbers and Eynard-Orantin invariants

46 citations · 191 across the 22 of their papers we have counts for

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11 papers · 1 filter

math.GT2019

Local topological recursion governs the enumeration of lattice points in

Anupam Chaudhuri, Norman Do, Ellena Moskovsky

The second author and Norbury initiated the enumeration of lattice points in the Deligne-Mumford compactifications of moduli spaces of curves. They showed that the enumeration may…

math.GT2018

Towards the topological recursion for double Hurwitz numbers

Norman Do, Maksim Karev

Single Hurwitz numbers enumerate branched covers of the Riemann sphere with specified genus, prescribed ramification over infinity, and simple branching elsewhere. They exhibit a r…

math.GT2016

Counting curves on surfaces

Norman Do, Musashi A. Koyama, Daniel V. Mathews

In this paper we consider an elementary, and largely unexplored, combinatorial problem in low-dimensional topology. Consider a real 2-dimensional compact surface , and fix a num…

math.GT2015★ 5 cited

Monotone orbifold Hurwitz numbers

Norman Do, Maksim Karev

In general, Hurwitz numbers count branched covers of the Riemann sphere with prescribed ramification data, or equivalently, factorisations in the symmetric group with prescribed cy…

math.GT2014★ 28 cited

Topological recursion for irregular spectral curves

Norman Do, Paul Norbury

We study topological recursion on the irregular spectral curve , which produces a weighted count of dessins d'enfant. This analysis is then applied to topological recu…

math.GT2014★ 16 cited

Topological recursion and a quantum curve for monotone Hurwitz numbers

Norman Do, Alastair Dyer, Daniel V. Mathews

Classical Hurwitz numbers count branched covers of the Riemann sphere with prescribed ramification data, or equivalently, factorisations in the symmetric group with prescribed cycl…