Variational Aspects of the Seiberg-Witten Functional

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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.
14 pages, AMS-tex

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/152050

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9504003
 http://arxiv.org/abs/dg-ga/9504003

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arXiv