On Yang-Mills connections on compact K\"{a}hler surfaces

Teng Huang

On Yang-Mills connections on compact K\"{a}hler surfaces

Differential Geometry 2020-01-28 v1

Authors: Teng Huang

Abstract

We extend an $L^{2}$ -energy gap of Yang-Mills connections on principal $G$ -bundles $P$ over a compact Riemannian manfold with a $good$ Riemannian metric to the case of a compact K\"{a}hler surface with a $generic$ K\"{a}hler metric $g$ , which guarantees that all ASD connections on the principal bundle $P$ over $X$ are irreducible.

Keywords

yang-mills theory holomorphic vector bundles kähler manifolds

Cite

@article{arxiv.2001.09922,
  title  = {On Yang-Mills connections on compact K\"{a}hler surfaces},
  author = {Teng Huang},
  journal= {arXiv preprint arXiv:2001.09922},
  year   = {2020}
}

Comments

Submitted, 24 pages

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