Mathematics – Differential Geometry
Scientific paper
2006-02-28
Asian J. Math. 10 (2006), no. 4, 731--748
Mathematics
Differential Geometry
20 pages
Scientific paper
We give an alternative proof of the mod $p$ vanishing theorem by F.Fang of Seiberg-Witten invariants under a cyclic group action of prime order, and generalize it to the case when $b_1>0$. Although we also use the finite dimensional approximation of the monopole map as well as Fang, our method is rather geometric. Furthermore, non-trivial examples of mod $p$ vanishing are given.
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