We study the nn‐point differentials corresponding to Kadomtsev–Petviashvili (KP) tau
functions of hypergeometric type (also known as Orlov–Scherbin partition functions), with an …

Double Hurwitz numbers enumerate branched covers of CP 1 with prescribed ramification
over two points and simple ramification elsewhere. In contrast to the single case, their …

Given a spectral curve with exponential singularities (which we call a “transalgebraic
spectral curve”), we extend the definition of topological recursion to include contributions …

We derive the analogues of the Harer-Zagier formulas for single-and double-trace
correlators in the q-deformed Hermitian Gaussian matrix model. This fully describes single …

A bstract We study ћ expansion of the KP hierarchy following Takasaki-Takebe [1]
considering several examples of matrix model τ-functions with natural genus expansion …

We show that 𝑏-Hurwitz numbers with a rational weight are obtained by taking an explicit
limit of a Whittaker vector for the W-algebra of type 𝐴. Our result is a vast generalization of …

We show that $ b $-Hurwitz numbers with a rational weight are obtained by taking an explicit
limit of a Whittaker vector for the $\mathcal {W} $-algebra of type $ A $. Our result is a vast …

We prove that single $ G $-weighted $\mathfrak {b} $-Hurwitz numbers with internal faces
are computed by refined topological recursion on a rational spectral curve, for certain …

A thread common to many problems of enumeration of surfaces is the idea that complicated
cases can be recovered from simpler ones through a recursive procedure. Solving the …