A universal formula for the swap in topological recursion

A Alexandrov, B Bychkov, P Dunin-Barkowski… - arXiv preprint arXiv …, 2022 - arxiv.org
We prove a recent conjecture of Borot et al. that a particular universal closed algebraic
formula recovers the correlation differentials of topological recursion after the swap of $ x …

Higher Airy structures and topological recursion for singular spectral curves

G Borot, R Kramer, Y Schüler - Annales de l'Institut Henri Poincaré D, 2024 - ems.press
We give elements towards the classification of quantum Airy structures based on the W. glr/-
algebras at self-dual level based on twisted modules of the Heisenberg VOA of glr for twists …

KP hierarchy for Hurwitz-type cohomological field theories

R Kramer - arXiv preprint arXiv:2107.05510, 2021 - arxiv.org
We generalise a result of Kazarian regarding Kadomtsev-Petviashvili integrability for single
Hodge integrals to general cohomological field theories related to Hurwitz-type counting …

KP integrability of triple Hodge integrals. I. From Givental group to hierarchy symmetries

A Alexandrov - arXiv preprint arXiv:2009.01615, 2020 - arxiv.org
In this paper, we investigate a relation between the Givental group of rank one and the
Heisenberg-Virasoro symmetry group of the KP hierarchy. We prove, that only a two …