279 citations · 1k across the 28 of their papers we have counts for
29 papers
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…
Whittaker vectors for -algebras from topological recursion
Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram +1
We identify Whittaker vectors for -modules with partition functions of higher Airy structures. This implies that Gaiotto vectors, describing the fundam…
A New Class of Higher Quantum Airy Structures as Modules of -Algebras
Vincent Bouchard, Kieran Mastel
Quantum -Airy structures can be constructed as modules of -algebras via restriction of twisted modules for the underlying Heisenberg algebra. In th…
Super Quantum Airy Structures
Vincent Bouchard, Paweł Ciosmak, Leszek Hadasz +3
We introduce super quantum Airy structures, which provide a supersymmetric generalization of quantum Airy structures. We prove that to a given super quantum Airy structure one can…
Higher Airy structures, W algebras and topological recursion
Gaëtan Borot, Vincent Bouchard, Nitin K. Chidambaram +2
We define higher quantum Airy structures as generalizations of the Kontsevich-Soibelman quantum Airy structures by allowing differential operators of arbitrary order (instead of on…
Hecke Operators on Vector-Valued Modular Forms
Vincent Bouchard, Thomas Creutzig, Aniket Joshi
We study Hecke operators on vector-valued modular forms for the Weil representation of a lattice . We first construct Hecke operators that map vector-value…