A bstract In this paper we revisit several recent results on monotone and strictly monotone
Hurwitz numbers, providing new proofs. In particular, we use various versions of these …

A double ramification cycle, or DR-cycle, is a codimension $ g $ cycle in the moduli space
$\overline {\mathcal M} _ {g, n} $ of stable curves. Roughly speaking, given a list of integers …

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 the spectral curves for $ q $-part double Hurwitz numbers, $ r $-spin simple
Hurwitz numbers, and arbitrary combinations of these cases, from the analysis of the …

A fermionic representation is given for all the quantities entering in the generating function
approach to weighted Hurwitz numbers and topological recursion. This includes: KP and 2 D …

Quantum spectral curve for the Gromov–Witten theory of the complex projective line Skip to
content Should you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ …

We prove that a generalisation of simple Hurwitz numbers due to Johnson, Pandharipande
and Tseng satisfy the topological recursion of Eynard and Orantin. This generalises the …

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 …

The Girard and Waring formula and mathematical induction are used to study a problem
involving the sums of powers of Fibonacci polynomials in this paper, and we give it …

Going beyond the studies of single and double Hurwitz numbers, we report some progress
towards studying Hurwitz numbers which correspond to ramified coverings of the Riemann …