On a system of Seiberg-Witten equations

被引：0

作者：

Massamba, F

Thompson, G

机构：

[1] Abdus Salam ICTP, High Energy Grp, I-34100 Trieste, Italy

[2] IMSP, Porto Novo, Benin

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2006年 / 56卷 / 04期

关键词：

Seiberg-Witten equation; moduli space of solutions;

D O I：

10.1016/j.geomphys.2005.04.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and study a system of Seiberg-Witten equations. These are r copies of the usual Seiberg-Witten equations coupled to each other involving r connections on r Spin(C) structures as well as r positive spinors and are Abelian generalizations of the Seiberg-Witten equations. For r = 2, we show that the moduli space of solutions is a compact, orientable and smooth manifold. For minimal surfaces of general type, we are able to determine the basic classes. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：643 / 665

页数：23

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