160 citations · 1.4k across the 97 of their papers we have counts for
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Log topological recursion through the prism of swap
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We introduce a new concept of logarithmic topological recursion that provides a patch to topological recursion in the presence of logarithmic singularities and prove that this new…
KP integrability through the swap relation
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We discuss a universal relation that we call the swap relation, which plays a prominent role in the theory of topological recursion, Hurwitz theory, and free probability theo…
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, 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…
Miura-reciprocal transformations and localizable Poisson pencils
P. Lorenzoni, S. Shadrin, R. Vitolo
We show that the equivalence classes of deformations of localizable semisimple Poisson pencils of hydrodynamic type with respect to the action of the Miura-reciprocal group contain…