One part leaky covers
Algebraic Geometry
2025-09-05 v1 Combinatorics
Abstract
In our previous work [CMS24] we defined a new class of enumerative invariants called -leaky double Hurwitz descendants, generalizing both descendant integrals of double ramification cycles and -leaky double Hurwitz numbers. Here, we focus on the one-part version of these numbers, i.e.\ when the positive ramification profile is . We derive recursions and use them to produce explicit formulas and structure results for some infinite families of these numbers.
Cite
@article{arxiv.2509.04335,
title = {One part leaky covers},
author = {Renzo Cavalieri and Hannah Markwig and Johannes Schmitt},
journal= {arXiv preprint arXiv:2509.04335},
year = {2025}
}