Higgs bundles over elliptic curves for complex reductive Lie groups

Abstract

We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the (normalization of) its moduli spaces and the associated Hitchin fibration. The case of trivial degree is covered by the work of Thaddeus in 2001. Our arguments are different from those of Thaddeus and cover arbitrary degree.

To appear in Glasgow Mathematical Journal

References in corpus (1)

• Hilbert schemes as moduli of Higgs bundles and local systems

Cited by in corpus (5)

• Stratifications on the Moduli Space of Higgs Bundles
• Involutions of the moduli spaces of $G$-Higgs bundles over elliptic curves
• Character varieties of virtually nilpotent Kähler groups and G-Higgs bundles
• Higgs bundles over elliptic curves for real groups
• On the stack of semistable $G$-bundles over an elliptic curve