The moduli space of Hermitian-Yang-Mills connections

Jun Sasaki

公開日: 2025/4/13

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.

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