Bulletin of the Korean Mathematical Society (대한수학회보)

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THE AMPHICHEIRAL 2-BRIDGE KNOTS WITH SYMMETRIC UNION PRESENTATIONS

  • Toshifumi Tanaka (Department of Mathematics Faculty of Education Gifu University)
  • Received : 2023.03.05
  • Accepted : 2023.07.21
  • Published : 2024.03.31
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Abstract

In this paper, we characterize amphicheiral 2-bridge knots with symmetric union presentations and show that there exist infinitely many amphicheiral 2-bridge knots with symmetric union presentations with two twist regions. We also show that there are no amphicheiral 3-stranded pretzel knots with symmetric union presentations.

Keywords

Acknowledgement

The author is partially supported by the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Scientific Research(C), 2022-2024(22K03310).

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