Mod r Vanishing Theorem of Seiberg-Witten Invariant for 4-Manifolds acted by Cyclic Group Z_r

Wenzhao Chen

In this paper, a vanishing theorem is stated and proved. If a 4-manifold $M$ admits a smooth action by a cyclic group ${\mathbb{Z}}_r$, then given an ${\mathbb{Z}}_r$-equivariant $Spin…