38 citations · 217 across the 12 of their papers we have counts for
5 papers · 1 filter
Dubrovin's superpotential as a global spectral curve
Petr Dunin-Barkowski, Paul Norbury, Nicolas Orantin +2
We apply the spectral curve topological recursion to Dubrovin's universal Landau-Ginzburg superpotential associated to a semi-simple point of any conformal Frobenius manifold. We s…
Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula
Petr Dunin-Barkowski, Danilo Lewanski, Alexandr Popolitov +1
In this paper we present an example of a derivation of an ELSV-type formula using the methods of topological recursion. Namely, for orbifold Hurwitz numbers we give a new proof of…
Chiodo formulas for the r-th roots and topological recursion
Danilo Lewanski, Alexandr Popolitov, Sergey Shadrin +1
We analyze Chiodo's formulas for the Chern classes related to the r-th roots of the suitably twisted integer powers of the canonical class on the moduli space of curves. The inters…
Combinatorics of loop equations for branched covers of sphere
P. Dunin-Barkowski, N. Orantin, A. Popolitov +1
We prove, in a purely combinatorial way, the spectral curve topological recursion for the problem of enumeration of bi-colored maps, which are dual objects to dessins d'enfant. Fur…
Quantum spectral curve for the Gromov-Witten theory of the complex projective line
Petr Dunin-Barkowski, Motohico Mulase, Paul Norbury +2
We construct the quantum curve for the Gromov-Witten theory of the complex projective line.