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arXiv · 1605.04409

Higgs bundles over elliptic curves for real groups

Emilio Franco·Óscar García-Prada·P. E. Newstead
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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.

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Emilio Franco, Óscar García-Prada, P. E. Newstead. 2016-05-14. Higgs bundles over elliptic curves for real groups. https://arxiv.org/abs/1605.04409

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