Global properties of Higgs bundle moduli spaces
arXiv:2312.00762
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.
To appear in a volume in honor of Peter Newstead on the occasion of his 80th birthday