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Some boundedness properties of solutions to the complex Yang-Mills equations on closed $4$-manifolds

Authors
  • Huang, Teng
Type
Preprint
Publication Date
Nov 11, 2019
Submission Date
Nov 11, 2019
Identifiers
DOI: 10.1016/j.difgeo.2019.101563
Source
arXiv
License
Yellow
External links

Abstract

In this article, we study the analytical properties of the solutions of the complex Yang-Mills equations on a closed Riemannian four-manifold $X$ with a Riemannian metric $g$. The main result is that if $g$ is $good$ and the connection is an approximate ASD connection, then the extra field has a positive lower {bound}. As an application, we obtain some gap results for Yang-Mills connections and Kapustin-Witten equations.

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