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 …

In this paper, we prove a longstanding conjecture on the asymptotic behavior of a pair of
oscillatory matrix integrals: the Harish-Chandra/Itzykson-Zuber (HCIZ) integral, and the …

Hurwitz numbers count covers of curves satisfying fixed ramification data. Via monodromy
representation, this counting problem can be transformed to a problem of counting …

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

In recent years, monotone double Hurwitz numbers were introduced as a naturally
combinatorial modification of double Hurwitz numbers. Monotone double Hurwitz numbers …

Hurwitz numbers enumerate branched genus $ g $ covers of the Riemann sphere with fixed
ramification data or equivalently certain factorisations of permutations. Double Hurwitz …

Hurwitz numbers count genus g, degree d covers of the complex projective line with fixed
branched locus and fixed ramification data. An equivalent description is given by …

We present possible extensions of the quantum statistical mechanical formulation of class
field theory to the non-abelian case, based on the action of the absolute Galois group on …

Simple Hurwitz numbers are classical invariants in enumerative geometry counting
branched morphisms between Riemann surfaces with fixed ramification data. In recent …

We study monotone and strictly monotone Hurwitz numbers from a bosonic Fock space
perspective. This yields to an interpretation in terms of tropical geometry involving local …