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http://dx.doi.org/10.4134/JKMS.2002.39.1.103

A FREE ℤp-ACTION AND THE SEIBERG-WITTEN INVARIANTS  

Nakamura, Nobuhiro (Research Institute for Mathematical Sciences Kyoto university)
Publication Information
Journal of the Korean Mathematical Society / v.39, no.1, 2002 , pp. 103-117 More about this Journal
Abstract
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;
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