160 citations · 1.4k across the 97 of their papers we have counts for
5 papers · 2 filters
Ramifications of Hurwitz theory, KP integrability and quantum curves
A. Alexandrov, D. Lewanski, S. Shadrin
In this paper we revisit several recent results on monotone and strictly monotone Hurwitz numbers, providing new proofs. In particular, we use various versions of these numbers to…
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…
Blobbed topological recursion: properties and applications
Gaëtan Borot, Sergey Shadrin
We study the set of solutions of abstract loop equations. We prove that is determined by its purely holomorphic part: this results in a de…