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arXiv · 1501.00605

Instability of Reducible Critical Points of the Seiberg-Witten Functional

Celso Melchiades Doria
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Abstract

The Euler-Lagrange equations for the variational approach to the Seiberg-Witten equations always admit reducible solutions. In this context, the existence of unstable reducible solutions is achieved by assuming the existence of a parallel spinor or the negativeness of a Perelman-Yamabe type of invariant defined for a $\spinc$-structure.

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Celso Melchiades Doria. 2015-01-03. Instability of Reducible Critical Points of the Seiberg-Witten Functional. https://arxiv.org/abs/1501.00605

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