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- W1967019712 abstract "Call a periodic map h on the closed orientable surface Σ g extendable if h extends to a periodic map over the pair (S 3,Σ g ) for possible embeddings e: Σ g → S 3. The authors determine the extendabilities for all periodical maps on Σ2. The results involve various orientation preserving/reversing behalves of the periodical maps on the pair (S 3,Σ g ). To do this the authors first list all periodic maps on Σ2, and indeed the authors exhibit each of them as a composition of primary and explicit symmetries, like rotations, reflections and antipodal maps, which itself should be interesting. A by-product is that for each even g, the maximum order periodic map on Σ g is extendable, which contrasts sharply with the situation in the orientation preserving category." @default.
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- W1967019712 date "2015-02-04" @default.
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- W1967019712 title "Embedding periodic maps on surfaces into those on S 3" @default.
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- W1967019712 doi "https://doi.org/10.1007/s11401-015-0890-z" @default.
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