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 …

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 derive a new explicit formula in terms of sums over graphs for the n-point correlation
functions of general formal weighted double Hurwitz numbers coming from the Kadomtsev …

We perform a key step towards the proof of Zvonkine's conjectural $ r $-ELSV formula that
relates Hurwitz numbers with completed $(r+ 1) $-cycles to the geometry of the moduli …

Special Cases of the Orbifold Version of Zvonkine's r-ELSV Formula Page 1 Michigan Math. J.
70 (2021), 369–402 Special Cases of the Orbifold Version of Zvonkine’s r-ELSV Formula …

We rewrite the (extended) Ooguri-Vafa partition function for colored HOMFLY-PT
polynomials for torus knots in terms of the free-fermion (semi-infinite wedge) formalism …

We derive explicit formulae for the generating series of mixed Grothendieck dessins
d'enfant/monotone/simple Hurwitz numbers, via the semi-infinite wedge formalism. This …

arXiv:1909.02302v3 [math.AG] 9 Oct 2020 Page 1 TOPOLOGICAL RECURSION FOR
MONOTONE ORBIFOLD HURWITZ NUMBERS: A PROOF OF THE DO-KAREV …

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 …