On 3-manifolds with locally standard -actions

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• 作者：Zhi Lü ; ^a ; ^{zlu@fudan.edu.cn} ; Li Yu^b ; ^{yuli@nju.edu.cn}
• 关键词：57M60 ; 57M40 ; 57S17
• 刊名：Topology and its Applications
• 出版年：2013
• 出版时间：1 March, 2013
• 年：2013
• 卷：160
• 期：4
• 页码：596-605
• 全文大小：352 K

文摘

We investigate what kind of closed 3-manifolds can admit locally standard -actions. In particular, we will prove that for a closed connected 3-manifold M with , M admits a locally standard -action if and only if M is a connected sum of 8 copies of a -homology sphere N. So if such an M is irreducible, it must be homeomorphic to . Moreover, the argument can be extended to study orientable rational homology 3-spheres M with which admits locally standard -actions.