Two curious strongly invertible L-space knots

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-04-25 DOI:10.1016/j.aim.2025.110287

Kenneth L. Baker , Marc Kegel , Duncan McCoy

引用次数: 0

Abstract

We present two examples of strongly invertible L-space knots whose surgeries are never the double branched cover of a Khovanov thin link in the 3-sphere. Consequently, these knots provide counterexamples to a conjectural characterization of strongly invertible L-space knots due to Watson. We also discuss other exceptional properties of these two knots, for example, these two L-space knots have formal semigroups that are actual semigroups.

查看原文本刊更多论文

两个奇怪的强可逆l空间结

我们给出了两个强可逆l空间结的例子，它们的手术从来不是3球中Khovanov细连杆的双分支覆盖。因此，这些结提供了反例，以推测强可逆的l空间结的特征，由于沃森。我们还讨论了这两个结的其他特殊性质，例如，这两个l空间结有形式半群，它们是实际的半群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.