2021年
Two-bridge knots admit no purely cosmetic surgeries
Algebraic and Geometric Topology
- ,
- ,
- ,
- 巻
- 21
- 号
- 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.
- ID情報
-
- DOI : 10.2140/agt.2021.21.2411
- ISSN : 1472-2747
- eISSN : 1472-2739