A note on the sheet numbers of twist-spun knots

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概要

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• The sheet number of a $2$-knot is a quantity which reflects the complexity of the knotting in $4$-space. The aim of this note is to determine the sheet numbers of the $2$- and $3$-twist-spun trefoils. For this purpose, we give a lower bound of the sheet number by the quandle cocycle invariant of a $2$-knot, and an upper bound by the crossing number of a $1$-knot.

著者

• SATO Shin

  Department of Chemistry, School of Science, University of Tokyo

• Sato Shin

  Department Of Chemistry School Of Science University Of Tokyo

• Sato Shin

  Department Of Mathematics Kobe University Rokkodai-cho Nada-ku Kobe 657-0013 Japan

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