Higgs bundles over elliptic curves for real groups

Abstract

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

References in corpus (3)

• Spectral data for G-Higgs bundles
• Higgs bundles for real groups and the Hitchin-Kostant-Rallis section
• Higgs bundles over elliptic curves for complex reductive Lie groups

Cited by in corpus (1)

• Involutions of the moduli spaces of $G$-Higgs bundles over elliptic curves