160 citations · 1.4k across the 97 of their papers we have counts for
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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…
Explicit closed algebraic formulas for Orlov-Scherbin -point functions
Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian +1
We derive a new explicit formula in terms of sums over graphs for the -point correlation functions of general formal weighted double Hurwitz numbers coming from the Kadomtsev-Pe…
Towards a bihamiltonian structure for the double ramification hierarchy
Alexandr Buryak, Paolo Rossi, Sergey Shadrin
We propose a remarkably simple and explicit conjectural formula for a bihamiltonian structure of the double ramification hierarchy corresponding to an arbitrary homogeneous cohomol…
Deformation theory of Cohomological Field Theories
Vladimir Dotsenko, Sergey Shadrin, Arkady Vaintrob +1
We develop the deformation theory of cohomological field theories (CohFTs), which is done as a special case of a general deformation theory of morphisms of modular operads. This le…