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- W1851384074 abstract "In this paper we study $G$-Higgs bundles over an elliptic curve when the structure group $G$ is a classical complex reductive Lie group. Modifying the notion of family, we define a new moduli problem for the classification of semistable $G$-Higgs bundles of a given topological type over an elliptic curve and we give an explicit description of the associated moduli space as a finite quotient of a product of copies of the cotangent bundle of the elliptic curve. We construct a bijective morphism from this new moduli space to the usual moduli space of semistable $G$-Higgs bundles, proving that the former is the normalization of the latter. We also obtain an explicit description of the Hitchin fibration for our (new) moduli space of $G$-Higgs bundles and we study the generic and non-generic fibres." @default.
- W1851384074 created "2016-06-24" @default.
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- W1851384074 date "2013-02-12" @default.
- W1851384074 modified "2023-10-17" @default.
- W1851384074 title "Higgs bundles over elliptic curves" @default.
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- W1851384074 doi "https://doi.org/10.48550/arxiv.1302.2881" @default.
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