KNOTS WITH HOPF CROSSING NUMBER AT MOST ONE

• Mroczkowski Maciej

抄録

We consider diagrams of links in S^2 obtained by projection from S^3 with the Hopf map and the minimal crossing number for such diagrams. Knots admitting diagrams with at most one crossing are classified. Some properties of these knots are exhibited. In particular, we establish which of these knots are algebraic and, for such knots, give an answer to a problem posed by Fiedler in [3].

収録刊行物

• Osaka Journal of Mathematics

  Osaka Journal of Mathematics 57 (2), 279-304, 2020-04

  Osaka University and Osaka City University, Departments of Mathematics

詳細情報

• CRID: 1390572174771508736
• NII論文ID: 120006865392
• NII書誌ID: AA00765910
• DOI: 10.18910/75915
• HANDLE: 11094/75915
• ISSN: 00306126
• Web Site: https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_00306126-57-2-279
• 本文言語コード: en
• データソース種別:
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  • IRDB
  • CiNii Articles