Cyclic and finite surgeries on pretzel knots

Sangyop Lee, Seung Sang Oh, Masakazu Teragaito

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume11
Issue number6
DOIs
Publication statusPublished - 2002 Sep 1
Externally publishedYes

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Pretzel Knot
Fundamental Group
Surgery
Dehn Surgery
Seminorm
Cyclic group
Finite Group
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Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Cyclic and finite surgeries on pretzel knots. / Lee, Sangyop; Oh, Seung Sang; Teragaito, Masakazu.

In: Journal of Knot Theory and its Ramifications, Vol. 11, No. 6, 01.09.2002, p. 891-902.

Research output: Contribution to journalArticle

Lee, Sangyop ; Oh, Seung Sang ; Teragaito, Masakazu. / Cyclic and finite surgeries on pretzel knots. In: Journal of Knot Theory and its Ramifications. 2002 ; Vol. 11, No. 6. pp. 891-902.
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