Applications of the Casson-Walker invariant to the knot complement and the cosmetic crossing conjectures

被引：2

作者：

Ito, Tetsuya ^{[1
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

GEOMETRIAE DEDICATA | 2022年 / 216卷 / 06期

关键词：

Casson-Walker invariant; Knot complement conjecture; Cosmetic crossing conjecture; Knot; SURGERY; HOMOLOGY; FORMULA;

D O I：

10.1007/s10711-022-00722-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a rational surgery formula for the Casson-Walker invariant of a 2-component link in S-3 which is a generalization of Matveev-Polyak's formula. As application, we give more examples of a non-hyperbolic L-space M such that knots in M are determined by their complements. We also apply the result for the cosmetic crossing conjecture.

引用

页数：15

共 14 条

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Tetsuya Ito
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