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

被引：0
|
作者：
Huang, Teng [1 ,2 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[2] Chinese Acad Sci, Key Lab Wu Wen Tsun Math, Hefei 230026, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2020年 / 68卷
基金：
中国国家自然科学基金;
关键词：
Complex Yang-Mills equations; Kapustin-Witten equations; Gauge theory; ENERGY-GAP; CONNECTIONS; DUALITY;
D O I：
10.1016/j.difgeo.2019.101563
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2019 Elsevier B.V. All rights reserved.
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页数：19
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