双组分L空间链接上的L空间手术

IF 1.1 Q1 MATHEMATICS

Transactions of the London Mathematical Society Pub Date : 2019-05-12 DOI:10.1112/tlm3.12027

Beibei Liu

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引用次数: 6

摘要

在本文中，我们分析了两个组成部分L-空间链路上的L-空间运算。我们表明，如果L空间手术的一个手术系数为负，则相应的链接分量为unknot。如果链接允许进行非常负面的（即d1，d2≪0）L空间手术，则它要么是unlink，要么是Hopf链接。我们还给出了一种方法来表征环面链路T（2，2l），方法是在具有未命名分量的2分量L空间链路上观察具有某些d1d2＜0的L空间外科Sd1，d23（L）。对于一些2分量的L空间链接，我们给出了L空间手术集的明确描述。

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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L‐space surgeries on 2‐component L‐space links

In this paper, we analyze L‐space surgeries on two component L‐space links. We show that if one surgery coefficient is negative for the L‐space surgery, then the corresponding link component is an unknot. If the link admits a very negative (that is, d1,d2≪0 ) L‐space surgery, it is either the unlink or the Hopf link. We also give a way to characterize the torus link T(2,2l) by observing an L‐space surgery Sd1,d23(L) with some d1d2<0 on a 2‐component L‐space link with unknotted components. For some 2‐component L‐space links, we give explicit descriptions of the L‐space surgery sets.

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来源期刊

Transactions of the London Mathematical Society MATHEMATICS-

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

41 weeks