关于科比第一类移动的潜在接触式类似物

arXiv - MATH - Symplectic Geometry Pub Date : 2024-07-05 DOI:arxiv-2407.04395

Prerak Deep, Dheeraj Kulkarni

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引用次数: 0

摘要

在本注释中，我们探讨了接触手术图存在类型 1 的柯比移动的可能性。特别是，我们给出了接触手术图成为类型 1 的接触柯比移动的潜在候选者的必要条件。我们证明，除了具有 Thruston-Bennequin 数 $-1$ 的莱根德里结上的接触 $(+2)$ 手术图之外，没有其他接触积分手术图满足这些条件。

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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On A Potential Contact Analogue Of Kirby Move Of Type 1

In this note, we explore the possibility of the existence of Kirby move of type 1 for contact surgery diagrams. In particular, we give the necessary conditions on a contact surgery diagram to become a potential candidate for contact Kirby move of type 1. We prove that no other contact integral surgery diagram satisfies those conditions except for contact $(+2)$-surgery on Legendrian unknot with Thruston--Bennequin number $-1$.

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arXiv - MATH - Symplectic Geometry

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