The tunnel number and the cutting number with constituent handlebody-knots

研究成果査読

1 被引用数 (Scopus)

抄録

We give lower bounds for the tunnel number of knots and handlebody-knots. We also give a lower bound for the cutting number, which is a “dual” notion to the tunnel number in handlebody-knot theory. We provide necessary conditions to be constituent handlebody-knots by using G-family of quandles colorings. The above two evaluations are obtained as the corollaries. Furthermore, we construct handlebody-knots with arbitrary tunnel number and cutting number.

本文言語English
論文番号107632
ジャーナルTopology and its Applications
292
DOI
出版ステータスPublished - 2021 4 1

ASJC Scopus subject areas

  • 幾何学とトポロジー

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