The moduli space of Hermitian-Yang-Mills connections
Differential Geometry
2025-09-12 v2
Abstract
In this paper, we study Hermitian-Yang-Mills connections (HYM) on a smooth Hermitian vector bundle over compact K\"{a}hler manifold. We calculate the virtual dimension of the moduli space of HYM connections and provide an analytic proof that the stability of Higgs bundles is an open condition.
Cite
@article{arxiv.2504.09538,
title = {The moduli space of Hermitian-Yang-Mills connections},
author = {Jun Sasaki},
journal= {arXiv preprint arXiv:2504.09538},
year = {2025}
}
Comments
19 pages. We have substantially revised the structure