Global properties of Higgs bundle moduli spaces
Algebraic Geometry
2023-12-04 v1 Geometric Topology
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.
Keywords
Cite
@article{arxiv.2312.00762,
title = {Global properties of Higgs bundle moduli spaces},
author = {Steven Bradlow},
journal= {arXiv preprint arXiv:2312.00762},
year = {2023}
}
Comments
To appear in a volume in honor of Peter Newstead on the occasion of his 80th birthday