Higgs bundles over elliptic curves for real groups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2019Embargo end date: 01 Jan 2016 English Publisher:Oxford University Press (OUP)Journal:The Quarterly Journal of Mathematics, volume 70, pages 105-146 (issn: 0033-5606, eissn: 1464-3847,

Copyright policy )

Authors: Franco, Emilio; García-Prada, Oscar; Newstead, P. E.;

doi: 10.1093/qmath/hay037 , 10.48550/arxiv.1605.04409

arXiv: 1605.04409

handle: 10261/200442

Higgs bundles over elliptic curves for real groups

- Summary
- Subjects
- Metrics

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.

Related Organizations

Keywords

principal bundles, Vector bundles on curves and their moduli, Sheaves, derived categories of sheaves, etc., 14H60, 14D20, 14H52, moduli spaces of Higgs bundles, Mathematics - Algebraic Geometry, Algebraic moduli problems, moduli of vector bundles, Higgs bundles, elliptic curves, FOS: Mathematics, Elliptic curves, Algebraic Geometry (math.AG)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average