arXiv subjects

Celso Melchiades Doria

Publications and source records attributed to Celso Melchiades Doria.

2 recordsLinked to original sources

arXiv2015

Instability of Reducible Critical Points of the Seiberg-Witten Functional

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.

math.DG↗

arXiv2007

The Morse Index of Redutible Solutions Of The Seiberg-Witten Equations

The $2^{nd}$ variation formula of the Seiberg-Witten functional is obtained in order to estimate the Morse index of redutible solutions $(A,0)$. It is shown that their Morse index is given by the dimension of the largest negative eigenspace of the operator $\triangle_{A} +\frac{k_{g}}{4}$, hence it is finite.

math-ph↗