The moduli space of Hermitian-Yang-Mills connections

Fuente: arXiv
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Auteur principal: Sasaki, Jun
Format: Preprint
Publié: 2025
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author Sasaki, Jun
author_facet Sasaki, Jun
contents In this paper, we study Hermitian-Yang-Mills connections (HYM) on a smooth Hermitian vector bundle over compact Kähler 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09538
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The moduli space of Hermitian-Yang-Mills connections
Sasaki, Jun
Differential Geometry
53C07, 58D27
In this paper, we study Hermitian-Yang-Mills connections (HYM) on a smooth Hermitian vector bundle over compact Kähler 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.
title The moduli space of Hermitian-Yang-Mills connections
topic Differential Geometry
53C07, 58D27
url https://arxiv.org/abs/2504.09538