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A free $\Zp$-action and the Seiberg-Witten invariants

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Abstract

We consider the situation that Zp = Z/pZ acts freelyon a closed oriented 4-manifold X with b_2^+ geq 2.In this situation, we study the relation between theSeiberg-Witten invariants of X and those of the quotientmanifold X / Zp. We prove that the invariants of X areequal to those of X / Zp modulo p.

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