Purely Cosmetic Surgeries And Pretzel Knots

András I. Stipsicz, Zoltán Szabó

Research output: Contribution to journalArticlepeer-review

Abstract

We show that all pretzel knots satisfy the (purely) cosmetic surgery conjecture, i.e., Dehn surgeries with different slopes along a (nontrivial) pretzel knot provide different oriented three-manifolds.

Original languageEnglish (US)
Pages (from-to)195-211
Number of pages17
JournalPacific Journal of Mathematics
Volume313
Issue number1
DOIs
StatePublished - 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Cosmetic surgery
  • pretzel knots
  • thickness

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