Journal of the
Korean Mathematical Society JKMS

We consider the situation that $\mathbb Z_p = \mathbb Z/p\mathbb Z$ acts freely on a closed oriented 4-manifold $X$ with $b_2^+ \geq 2$. In this situation, we study the relation between the Seiberg-Witten invariants of $X$ and those of the quotient manifold $X / \mathbb Z_p$. We prove that the invariants of $X$ are equal to those of $X / \mathbb Z_p$ modulo $p$.

Keywords: 4-manifold, Seiberg-Witten invariants, group action

MSC numbers: Primary 57R57; Secondary 57M60