English

The $r$-matrix structure of Hitchin systems via loop group uniformization

Mathematical Physics 2024-02-26 v2 math.MP

Abstract

In this work, the description of the moduli space of principal GG-bundles as double quotient of loop groups is used to construct an \'etale local rr-matrix for the Hitchin integrable system.

Keywords

Cite

@article{arxiv.2401.01327,
  title  = {The $r$-matrix structure of Hitchin systems via loop group uniformization},
  author = {Raschid Abedin},
  journal= {arXiv preprint arXiv:2401.01327},
  year   = {2024}
}