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 …

It was demonstrated recently that the W 1+∞ algebra contains commutative subalgebras
associated with all integer slope rays (including the vertical one). In this paper, we realize …

We consider the boundary dual of AdS3xS3xK3 for NS5-flux Q5= 1, which is described by a
sigma model with target space given by the d-fold symmetric product of K3. Building on …

We propose a new system of conjectural relations in the tautological ring of the moduli
space of curves involving stable rooted trees with level structure decorated by Hodge and Ω …

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 …

Kontsevich introduced certain ribbon graphs as cell decompositions for combinatorial
models of moduli spaces of complex curves with boundaries in his proof of Witten's …

We study spin Hurwitz numbers, which count ramified covers of the Riemann sphere with a
sign coming from a theta characteristic. These numbers are known to be related to Gromov …

We give elements towards the classification of quantum Airy structures based on the W. glr/-
algebras at self-dual level based on twisted modules of the Heisenberg VOA of glr for twists …

You may have seen the words" topological recursion" mentioned in papers on matrix
models, Hurwitz theory, Gromov-Witten theory, topological string theory, knot theory …

We study cut-and-join operators for spin Hurwitz partition functions. We provide explicit
expressions for these operators in terms of derivatives in p-variables without straightforward …