101 citations · 894 across the 40 of their papers we have counts for
5 papers · 1 filter
On W-operators and superintegrability for dessins d'enfant
Alexander Alexandrov
In this short note we identify a family of partition functions recently introduced by Wang, Liu, Zhang, and Zhao with certain specializations of the generating function for dessins…
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…
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,…
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…
A construction of open descendant potentials in all genera
Alexander Alexandrov, Alexey Basalaev, Alexandr Buryak
We present a construction of an open analogue of total descendant and total ancestor potentials via an "open version" of Givental's action. Our construction gives a genus expansion…