Mod $p$ vanishing theorem of Seiberg-Witten invariants for 4-manifolds with $\Bbb Z\sb p$-actions

Nobuhiro Nakamura
2006 Asian Journal of Mathematics  
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 ≥ 1. 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.
doi:10.4310/ajm.2006.v10.n4.a6 fatcat:5i6rm5c4vfg2fnt6pjauxevq3i