Jackiw–Teitelboim dilaton quantum gravity localizes on a double-scaled random-matrix
model, whose perturbative free energy is an asymptotic series. Understanding the resurgent …

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 …

We identify Whittaker vectors for W k (g)-modules with partition functions of higher Airy
structures. This implies that Gaiotto vectors, describing the fundamental class in the …

In this paper, we discuss the properties of the generating functions of spin Hurwitz numbers.
In particular, for spin Hurwitz numbers with arbitrary ramification profiles, we construct the …

Abstract Goulden, Jackson and Vakil observed a polynomial structure underlying one-part
double Hurwitz numbers, which enumerate branched covers of CP 1 with prescribed …

We generalise a result of Kazarian regarding Kadomtsev-Petviashvili integrability for single
Hodge integrals to general cohomological field theories related to Hurwitz-type counting …

Given a tau-function τ (t) of the BKP hierarchy satisfying τ (0)= 1, we discuss the relation
between its BKP-affine coordinates on the isotropic Sato Grassmannian and its BKP-wave …

Following Zhou's framework, we consider the emergent geometry of the generalized Br\'ezin-
Gross-Witten models whose partition functions are known to be a family of tau-functions of …

We derive an explicit formula for connected (n, m)-point functions associated with an
arbitrary diagonal tau-function of the 2-BKP hierarchy using the computation of neutral …

We study the spin Gromov–Witten theory of P1. Using the standard torus action on P1, we
prove that the associated equivariant potential can be expressed by means of operator …