Work

Counting the fission trees and nonabelian Hodge graphs (untwisted case)

Year: 2025

Type: article

Abstract: Any algebraic connection on a vector bundle on a smooth complex algebraic curve determines an irregular class and in turn a fission tree at each puncture. The fission trees are the discrete data classifying the admissible deformation classes. Here we explain how to count the fission trees with given slope and number of leaves, in the untwisted case. This also leads to a clearer picture of the “periodic table” of the atoms that play the role of building blocks in 2d gauge theory.

Source: Journal of Geometry and Physics

DOI: 10.1016/j.geomphys.2025.105512

Author: Philip Boalch

Institutions: Centre National de la Recherche Scientifique, Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

OpenAlex ID: W4410089897

FWCI: 3.581

Cites: 37

Cited by: 2

Related to: 10