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- W2148215806 abstract "We study the ribbon discs that arise from a symmetric union presentation of a ribbon knot. A natural notion of symmetric ribbon number is introduced and compared with the classical ribbon number. We show that the gap between these numbers can be arbitrarily large by constructing an infinite family of ribbon knots with ribbon number 2 and arbitrarily large symmetric ribbon number. The proof is based on a particularly simple description of symmetric unions in terms of certain band diagrams which leads to an upper bound for the Heegaard genus of their branched double covers." @default.
- W2148215806 created "2016-06-24" @default.
- W2148215806 creator A5066818352 @default.
- W2148215806 date "2014-07-24" @default.
- W2148215806 modified "2023-09-27" @default.
- W2148215806 title "Symmetric ribbon disks" @default.
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- W2148215806 doi "https://doi.org/10.1142/s02182165145004851450048" @default.
- W2148215806 hasPublicationYear "2014" @default.
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