6 papers
Failing to keep the balance: explicit formulae and topological recursion for leaky Hurwitz numbers
Marvin Anas Hahn, Reinier Kramer
Recently a new family of enumerative invariants called leaky Hurwitz numbers was introduced by Cavalieri-Markwig-Ranganathan in the context of logarithmic intersection theory. They…
Superconformal topological recursion
Nezhla Aghaei, Reinier Kramer, Nicolas Orantin +1
We investigate a supersymmetric generalisation of topological recursion from two perspectives: algebraic and geometric. The algebraic side concerns a recursive structure encoded in…
Taking limits in topological recursion
Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram +2
When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectra…
Topological recursion on transalgebraic spectral curves and Atlantes Hurwitz numbers
Vincent Bouchard, Reinier Kramer, Quinten Weller
Given a spectral curve with exponential singularities (which we call a "transalgebraic spectral curve"), we extend the definition of topological recursion to include contributions…
The Spin Gromov-Witten/Hurwitz correspondence for
Alessandro Giacchetto, Reinier Kramer, Danilo LewaÅski +1
We study the spin Gromov-Witten (GW) theory of . Using the standard torus action on , we prove that the associated equivariant potential can be expresse…
Highest weight vectors, shifted topological recursion and quantum curves
Raphaël Belliard, Vincent Bouchard, Reinier Kramer +1
We extend the theory of topological recursion by considering Airy structures whose partition functions are highest weight vectors of particular -algebra representation…