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

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dc.creatorDoria, Celso Melchiades
dc.date2007-01-31
dc.date.accessioned2026-07-07T07:44:02Z
dc.date.available2026-07-07T07:44:02Z
dc.descriptionThe $2^{nd}$ 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.
dc.description09 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0701080
dc.identifierhttp://arxiv.org/abs/math-ph/0701080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123048
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject58Exx, 53C27, 57R57
dc.titleThe Morse Index of Redutible Solutions Of The Seiberg-Witten Equations
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