Physics – Mathematical Physics
Scientific paper
2007-01-31
Physics
Mathematical Physics
09 pages
Scientific paper
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.
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