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Variational Aspects of the Seiberg-Witten Functional

Juergen Jost·Xiaowei Peng·Guofang Wang
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Abstract

The Seiberg-Witten equations that have recently found important applications for four-dimensional geometry are the Euler-Lagrange equations for a functional involving a connection $A$ on a line bundle $L$ and a section $ϕ$ of another bundle $W^+$ constructed from $L$ and a spinor bundle on a given four-dimensional Riemannian manifold. We show the regularity of weak solutions and the Palais-Smale condition for this functional.

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BibTeXRIS

Juergen Jost, Xiaowei Peng, Guofang Wang. 1995-04-28. Variational Aspects of the Seiberg-Witten Functional. https://arxiv.org/abs/dg-ga/9504003

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