English

Higgs bundles over elliptic curves for real groups

Algebraic Geometry 2018-03-16 v4

Abstract

We study topologically trivial GG-Higgs bundles over an elliptic curve XX when the structure group GG is a connected real form of a complex semisimple Lie group GCG^{\mathbb{C}}. We achieve a description of their (reduced) moduli space, the associated Hitchin fibration and the finite morphism to the moduli space of GCG^{\mathbb{C}}-Higgs bundles.

Keywords

Cite

@article{arxiv.1605.04409,
  title  = {Higgs bundles over elliptic curves for real groups},
  author = {Emilio Franco and Óscar García-Prada and P. E. Newstead},
  journal= {arXiv preprint arXiv:1605.04409},
  year   = {2018}
}
R2 v1 2026-06-22T14:00:44.816Z