論文

査読有り
2021年

Two-bridge knots admit no purely cosmetic surgeries

Algebraic and Geometric Topology
  • Kazuhiro Ichihara
  • ,
  • In Dae Jong
  • ,
  • Thomas W. Mattman
  • ,
  • Toshio Saito

21
5
開始ページ
2411
終了ページ
2424
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.2140/agt.2021.21.2411

We show that two-bridge knots and alternating fibered knots admit no purely cosmetic surgeries, i.e., no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are homeomorphic as oriented manifolds. Our argument, based on a recent result by Hanselman, uses several invariants of knots or 3-manifolds; for knots, we study the signature and some finite type invariants, and for 3-manifolds, we deploy the SL(2,ℂ) Casson invariant.

リンク情報
DOI
https://doi.org/10.2140/agt.2021.21.2411
URL
https://arxiv.org/abs/1909.02340
ID情報
  • DOI : 10.2140/agt.2021.21.2411
  • ISSN : 1472-2747
  • eISSN : 1472-2739

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