Year: 2026
Type: preprint
Abstract: We introduce a tropical framework for the study of spin Hurwitz numbers and their completed cycles analogues. We use degeneration techniques to obtain an interpretation of spin Hurwitz numbers via tropical covers. We employ the tropical methods to obtain new closed formulae for spin Hurwitz numbers in special cases. Moreover, we employ Fock space techniques to tropicalise completed cycles spin Hurwitz numbers. Using this, we prove that spin Hurwitz numbers admit a piecewise polynomial structure akin to their classical counterparts. We also derive wall--crossing formulae.
Source: arXiv (Cornell University)
Authors: Cobigo, Lou-Jean Leila, Hahn, Marvin Anas
Institutions: Trinity College Dublin, University of Tübingen
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224137222