ON CONSTRAINTS FOR KNOTS TO ADMIT CHIRALLY COSMETIC SURGERIES AND THEIR CALCULATIONS

被引：0
|
作者：
Ichihara, Kazuhiro [1 ]
Ito, Tetsuya [2 ]
Saito, Toshio [3 ]
机构：
[1] Nihon Univ, Coll Humanities & Sci, Dept Math, Tokyo, Japan
[2] Kyoto Univ, Dept Math, Kyoto, Japan
[3] Joetsu Univ Educ, Dept Math, Joetsu, Japan
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2022年 / 321卷 / 01期
关键词：
chirally cosmetic surgery;
D O I：
10.2140/pjm.2022.321.167
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss various constraints for knots in S3 to admit chirally cosmetic surgeries, derived from invariants of 3-manifolds, such as, the quantum SO(3)-invariant, the rank of the Heegaard Floer homology, and finite-type invariants. We apply them to show that a large portion (roughly 75%) of knots which are neither amphicheiral nor (2, p)-torus knots with less than or equal to 10 crossings admits no chirally cosmetic surgeries.
引用
收藏
页码：167 / 191
页数：27
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