Seifert Fibered Slopes and Boundary Slopes on Small Hyperbolic Knots

• ICHIHARA, Kazuhiro

• MOTEGI, Kimihiko

• SONG, Hyun-Jong

Abstract

Let K be a small hyperbolic knot in the 3-sphere S3 and γ a boundary slope of K. Then it is known by the cyclic surgery theorem that the result K(γ) of γ-surgery on K can be neither a lens space nor a Seifert fiber space with finite fundamental group. In this note, we show an existence of a small hyperbolic knot K in S3 such that K(γ) is a Seifert fiber space with infinite fundamental group for a boundary slope of K. (AMS Subject Classification: 57M25.)

Journal

• 奈良教育大学紀要. 自然科学

  奈良教育大学紀要. 自然科学 57 (2), 21-25, 2008-10-31

  奈良教育大学

Keywords

• Dehn surgery
• hyperbolic knot
• Seifert fiber space
• boundary slope

Details

• CRID: 1050564289003866624
• NII Article ID: 120001075914
• NII Book ID: AN00181070
• ISSN: 05472407
• NDL BIB ID: 10185685
• Web Site: http://hdl.handle.net/10105/713
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10185685
• Text Lang: en
• Article Type: departmental bulletin paper
• Data Source:
  • IRDB
  • NDL
  • CiNii Articles