Table of Contents: :: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Garcia-Failde, Elba, Xu, Jianghao, Yang, Di, Zagier, Don
Format:	Preprint
Published:	2026
Subjects:	Mathematical Physics Exactly Solvable and Integrable Systems
Online Access:	https://arxiv.org/abs/2604.26354
Tags:	Add Tag No Tags, Be the first to tag this record!

Table of Contents:

In this paper, we study generating series enumerating polygonal angulations of closed oriented surfaces of fixed genus, focusing on $b$-angulations with $b = 3$ or $b = 2ν$, $ν\geq 2$. Based on Toda integrability, we establish new structural results in the cases $b = 3$ and $b = 4$. Furthermore, via the Hodge--GUE correspondence, we derive a fine structure in the $b = 2ν$ case, which implies a conjectural statement of Gharakhloo--Latimer.