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- W4385651903 abstract "We study invariant Seifert surfaces for strongly invertible knots, and prove that the gap between the equivariant genus (the minimum of the genera of invariant Seifert surfaces) of a strongly invertible knot and the (usual) genus of the underlying knot can be arbitrarily large. This forms a sharp contrast with Edmonds' theorem that every periodic knot admits an invariant minimal genus Seifert surface. We also prove variants of Edmonds' theorem, which are useful in studying invariant Seifert surfaces for strongly invertible knots." @default.
- W4385651903 created "2023-08-09" @default.
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- W4385651903 date "2023-08-08" @default.
- W4385651903 modified "2023-09-25" @default.
- W4385651903 title "Invariant Seifert surfaces for strongly invertible knots" @default.
- W4385651903 doi "https://doi.org/10.4171/irma/34/16" @default.
- W4385651903 hasPublicationYear "2023" @default.
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