2025/09/04 by Cavalieri, Renzo, Markwig, Hannah, Schmitt, Johannes
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2509.04335
In our previous work [CMS24] we defined a new class of enumerative invariants called k-leaky double Hurwitz descendants, generalizing both descendant integrals of double ramification cycles and k-leaky double Hurwitz numbers. Here, we focus on the one-part version of these numbers, i.e. when the positive ramification profile is (d). We derive recursions and use them to produce explicit formulas and structure results for some infinite families of these numbers.