In this work we study the G-invariant solutions of the Seiberg-Witten equations when G is a cyclic group acting on a manifold M, preserving the metric and the
orientation. G is assumed to have a lift to principle Spin-c bundle which gives rise to Seiberg-Witten equations in question. It was shown that when the dimension
b_+^G of the G-fixed points of harmonic two forms is positive, for a generic choice of an element in this fixed point set, the moduli space of invariant solutions of
Seiberg-Witten equations is a compact, smooth and oriented manifold. In case b_+^G is zero, it was shown that there exist a unique singularity which has a compact
neighborhood homeomorphic to a cone on a certain projective space. Using the latter case, a version of the theorem of Fintushel and Stern which gives a necessary
condition for a Seifert homology 3-sphere occurs as the boundary of a negative definite four manifold whose first cohomology contains no 2-torsion, is proven.
 

Keywords : Gauge Theory, Moduli space, Pseudofree orbifold, Seifert homology 3-spheres.