On the Existence of Critical Points to the Seiberg-Witten Functional

Details On the Existence of Critical Points to the Seiberg-Witten Functional On the Existence of Critical Points to the Seiberg-Witten Functional

2000-09-29

arxiv.org/abs/math/0009245v2

Mathematics

Differential Geometry

15 pages; the title was changed and some parts of the text have been improved in order to stress technical points originally t

Scientific paper

Considering that the Seiberg-Witten functional satisfies the Palais-Smale
Condition, up to gauge equivalence, the Minimax Principle can be applied on the
moduli space to prove the existence of critical points, which correspond to
solutions of the second-order SW-equations, up to gauge equivalence.

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