TWISTED ALEXANDER POLYNOMIAL OF A RIBBON 2-KNOT OF 1-FUSION

• Kanenobu Taizo

• Sumi Toshio

抄録

The twisted Alexander polynomial is defined as a rational function, not necessarily a polynomial. It is shown that for a ribbon 2-knot, the twisted Alexander polynomial associated to an irreducible representation of the knot group to SL(2, F) is always a polynomial. Furthermore, the twisted Alexander polynomial of a fibered ribbon 2-knot of 1-fusion has the lowest and highest degree coefficients 1 with breadth 2m − 2, where m is the breadth of its Alexander polynomial.

収録刊行物

• Osaka Journal of Mathematics

  Osaka Journal of Mathematics 57 (4), 789-803, 2020-10

  Osaka University and Osaka City University, Departments of Mathematics

詳細情報

• CRID: 1390290699795408640
• NII論文ID: 120006900873
• NII書誌ID: AA00765910
• DOI: 10.18910/77230
• HANDLE: 11094/77230
• ISSN: 00306126
• Web Site: https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_00306126-57-4-789
• 本文言語コード: en
• データソース種別:
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  • IRDB
  • CiNii Articles
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