%0 Journal Article
%T Instability of Reducible Critical Points of the Seiberg-Witten Functional
%A Celso Melchiades Doria
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1501.00605v1