6 papers
An explicit four-corner dictionary for (2,p) minimal Liouville gravity
A. Alexandrov, V. Belavin
(2,p) minimal Liouville gravity admits four algebraic descriptions interrelated by dualities. On the Frobenius manifold (FM) side the theory is built either on the manifold…
Matrix models for the nested hypergeometric tau-functions
Alexander Alexandrov
We introduce and investigate a family of tau-functions of the 2D Toda hierarchy, which is a natural generalization of the hypergeometric family associated with Hurwitz numbers. For…
On higher Brézin-Gross-Witten tau-functions
Alexander Alexandrov, Saswati Dhara
In this paper, we consider the higher Brézin--Gross--Witten tau-functions, given by the matrix integrals. For these tau-functions we construct the canonical Kac--Schwarz operators…
KP integrability of triple Hodge integrals. III. Cut-and-join description, KdV reduction, and topological recursions
Alexander Alexandrov
In this paper, we continue our investigation of the triple Hodge integrals satisfying the Calabi-Yau condition. For the tau-functions, which generate these integrals, we derive the…
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…
Cut-and-join operators in cohomological field theory and topological recursion
Alexander Alexandrov
We construct a cubic cut-and-join operator description for the partition function of the Chekhov-Eynard-Orantin topological recursion for a local spectral curve with simple ramific…