Sheet number and quandle-colored 2-knot

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概要

• 論文の詳細を見る

• A diagram of a 2-knot consists of a finite number of compact, connected surfaces called sheets. We prove that if a 2-knot admits a non-trivial coloring by some quandle, then any diagram of the 2-knot needs at least four sheets. Moreover, if a 2-knot admits a non-trivial 5- or 7-coloring, then any diagram needs at least five or six sheets, respectively.

• 社団法人 日本数学会の論文
• 2009-04-01

著者

• Satoh Shin

  Department of Cardiovascular Center, Toho University Sakura Hospital

• Satoh Shin

  Department Of Mathematics Kobe University

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• Sheet number and quandle-colored 2-knot

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