Two-bridge knots admit no purely cosmetic surgeries

被引：1
|
作者：
Ichihara, Kazuhiro [1 ]
Jong, In Dae
Mattman, Thomas W.
Saito, Toshio
机构：
[1] Nihon Univ, Coll Humanities & Sci, Dept Math, Tokyo, Japan
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2021年 / 21卷 / 05期
关键词：
C) CASSON INVARIANT; INCOMPRESSIBLE SURFACES; ALTERNATING KNOTS; GENUS; SL(2;
D O I：
10.2140/agt.2021.21.2411
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that two-bridge knots and alternating fibered knots admit no purely cosmetic surgeries, ie 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.
引用
收藏
页码：2411 / 2424
页数：14
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