两个奇特的强可逆 L 空间结

arXiv - MATH - Geometric Topology Pub Date : 2024-09-15 DOI:arxiv-2409.09833

Kenneth L. Baker, Marc Kegel, Duncan McCoy

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引用次数: 0

摘要

我们提出了两个强可逆 L 空间结的例子，它们的手术从来都不是 3 球中 Khovanov 细链的双支盖。因此，这些结为 Watson 提出的强可逆 L 空间结的猜想特征提供了反例。我们还讨论了这两个结的其他特殊性质，例如，这两个 L 空间结的形式半群是实际半群。

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Two curious strongly invertible L-space knots

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.

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arXiv - MATH - Geometric Topology

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