Work

Completed Cycles Leaky Hurwitz Numbers

Year: 2025

Type: article

Abstract: We introduce $(r+1)$-completed cycles $k$-leaky Hurwitz numbers and prove piecewise polynomiality as well as establishing their chamber polynomiality structure and their wall crossing formulae. For $k=0$ the results recover previous results of Shadrin–Spitz–Zvonkine. The specialization for $r=1$ recovers Hurwitz numbers that are close to the ones studied by Cavalieri–Markwig–Ranganathan and Cavalieri–Markwig–Schmitt.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnaf327

Authors: Davide Accadia, Maksim Karev, Danilo Lewański

Institutions: University of Trieste, Istituto Nazionale di Fisica Nucleare, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Guangdong Technion-Israel Institute of Technology

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,534

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Technion-Israel Institute of Technology, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni