Work

The r-Matrix Structure of Hitchin Systems via Loop Group Uniformization

Year: 2025

Type: article

Abstract: In this work, the description of the moduli space of principal $$G$$ G -bundles as double quotient of loop groups is used to construct an étale local $$r$$ r -matrix for the Hitchin integrable system.

Source: Annales Henri Poincaré

DOI: 10.1007/s00023-025-01603-w

Author: Raschid Abedin

Institution: ETH Zurich

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: National Science Foundation, National Centres of Competence in Research SwissMAP, Deutsche Forschungsgemeinschaft, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Awards: G545361813, NCCR SwissMAP: The Mathematics of Physics, G94430966

OpenAlex ID: W4413125559

FWCI:

Cites: 13

Cited by:

Related to: 10