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arXiv math-ph/0701080math-phmath.DGmath.MP
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The Morse Index of Redutible Solutions Of The Seiberg-Witten Equations

Celso Melchiades Doria

英文摘要:

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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