158 citations · 381 across the 19 of their papers we have counts for
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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…
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…
Symplectic duality for topological recursion
Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian +1
We consider weighted double Hurwitz numbers, with the weight given by arbitrary rational function times an exponent of the completed cycles. Both special singularities are arbitrar…
Generalised ordinary vs fully simple duality for -point functions and a proof of the Borot--Garcia-Failde conjecture
Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian +1
We study a duality for the -point functions in VEV formalism that we call the ordinary vs fully simple duality. It provides an ultimate generalisation and a proper context for t…
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…
Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots
Petr Dunin-Barkowski, Maxim Kazarian, Aleksandr Popolitov +2
We prove that topological recursion applied to the spectral curve of colored HOMFLY-PT polynomials of torus knots reproduces the n-point functions of a particular partition functio…