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

页码：167 / 191

页数：27

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