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- W3014011539 abstract "Let $G$ be a finite group acting on a connected compact surface $Sigma$, and $M$ be an integer homology 3-sphere. We show that if each element of $G$ is extendable over $M$ with respect to a fixed embedding $Sigmarightarrow M$, then $G$ is extendable over some $M'$ which is 1-dominated by $M$. From this result, in the orientable category we classify all periodic automorphisms of closed surfaces that are extendable over the 3-sphere. The corresponding embedded surface of such an automorphism can always be a Heegaard surface." @default.
- W3014011539 created "2020-04-03" @default.
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- W3014011539 date "2020-03-26" @default.
- W3014011539 modified "2023-10-16" @default.
- W3014011539 title "Extending periodic automorphisms of surfaces to 3-manifolds" @default.
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- W3014011539 doi "https://doi.org/10.48550/arxiv.2003.11773" @default.
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