Characterizing slopes for 5 2 $5_2$

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-06-06 DOI:10.1112/jlms.12951

John A. Baldwin, Steven Sivek

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引用次数: 0

Abstract

We prove that all rational slopes are characterizing for the knot $5_{2}$ , except possibly for positive integers. Along the way, we classify the Dehn surgeries on knots in $S^{3}$ that produce the Brieskorn sphere $Σ (2, 3, 11)$ , and we study knots on which large integral surgeries are almost L-spaces.

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确定 5 2 5_2$ 的斜率特征

我们证明，除了可能是正整数外，所有有理斜率都是结 5 2 5_2$ 的特征。同时，我们对 S 3 $S^3$ 中产生布里斯科恩球 Σ ( 2 , 3 , 11 ) $\Sigma (2,3,11)$ 的结上的德恩手术进行了分类，并研究了大积分手术几乎是 L 空间的结。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.