Cyclic and finite surgeries on pretzel knots

Sangyop Lee, Seungsang Oh, Masakazu Teragaito

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We classify Dehn surgeries on (p, q, r) pretzel knots resulting in a manifold M(α) having cyclic fundamental group and analyze those leading to a finite fundamental group. The proof uses the theory of cyclic and finite surgeries developed by Culler, Shalen, Boyer, and Zhang. In particular, Culler-Shalen seminorms play a central role.

Original languageEnglish
Pages (from-to)891-902
Number of pages12
JournalJournal of Knot Theory and its Ramifications
Issue number6
Publication statusPublished - 2002 Sept
Externally publishedYes

Bibliographical note

Funding Information:
This research was supported by grants NSERC OGP 0009446 and FCAR EQ 3518.


  • Character variety
  • Culler-Shalen seminorms
  • Dehn surgery
  • Exceptional surgery
  • Pretzel knot

ASJC Scopus subject areas

  • Algebra and Number Theory


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