3 papers
math-ph2025
Topological recursion, symplectic duality, and generalized fully simple maps
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the -point functions produced by the topol…
math-ph2024
A universal formula for the swap in topological recursion
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
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…
math-ph2024
Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type
Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian +1
We study the -point differentials corresponding to Kadomtsev-Petviashvili tau functions of hypergeometric type (also known as Orlov-Scherbin partition functions), with an emphas…