On the Existence of Critical Points to the Seiberg-Witten Functional
Differential Geometry
2007-05-23 v2 Mathematical Physics
Geometric Topology
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0009245,
title = {On the Existence of Critical Points to the Seiberg-Witten Functional},
author = {Celso M. Doria},
journal= {arXiv preprint arXiv:math/0009245},
year = {2007}
}
Comments
15 pages; the title was changed and some parts of the text have been improved in order to stress technical points originally treated in a sloppy way