扭曲马祖尔图案卫星结和镶边花理论

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2020-05-26 DOI:10.1307/mmj/20205927

I. Petkova, Biji Wong

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引用次数: 4

摘要

利用有边花理论研究了扭曲Mazur型卫星结Q_{n}(K)$的性质。我们证明$Q_n(K)$不是花同源薄的，有两个例外。我们根据扭转参数$n$计算$Q_{n}(K)$的3格和伴随$K$的3格，并确定$Q_n(K)$何时被纤维化。作为对花厚度和3属结果的应用，我们验证了许多这些卫星结的整容手术猜想。

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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Twisted Mazur Pattern Satellite Knots & Bordered Floer Theory

We use bordered Floer theory to study properties of twisted Mazur pattern satellite knots $Q_{n}(K)$. We prove that $Q_n(K)$ is not Floer homologically thin, with two exceptions. We calculate the 3-genus of $Q_{n}(K)$ in terms of the twisting parameter $n$ and the 3-genus of the companion $K$, and we determine when $Q_n(K)$ is fibered. As an application to our results on Floer thickness and 3-genus, we verify the Cosmetic Surgery Conjecture for many of these satellite knots.

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.