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arXiv · 2312.00762

Global properties of Higgs bundle moduli spaces

Steven Bradlow
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Abstract

The moduli spaces for Higgs bundles associated to real Lie groups and a closed Riemann surface have multiple connected components. This survey provides a compendium of results concerning the counting of these components in cases where the Lie group is a real forms of a complex simple Lie group. In some cases the components can be described quite explicitly.

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Steven Bradlow. 2023-12-01. Global properties of Higgs bundle moduli spaces. https://arxiv.org/abs/2312.00762

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