保留链接的交映变形所定义的辫状类型的稳定性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-02-13 DOI:10.1007/s11784-023-01095-3

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引用次数: 0

摘要

摘要在圆盘上固定一个合适的链接。最近，莫拉比托（F. Morabito）将每个保留链接的哈密顿交映变形与一个辫状类型联系起来。基于这一构造，莫拉比托利用霍弗度量定义了辫状群上的伪几何族。在本文中，我们证明了只要两个哈密顿交映变形的霍弗距离足够小，它们就能定义相同的辫状线类型。由此推论，莫拉比托定义的伪几何是非生成的。

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Stability of the braid types defined by the symplecticmorphisms preserving a link

Abstract

Fix a suitable link on the disk. Recently, F. Morabito associates each Hamiltonian symplecticmorphism preserving the link to a braid type. Based on this construction, Morabito defines a family of pseudometrics on the braid groups by using the Hofer metric. In this paper, we show that two Hamiltonian symplecticmorphisms define the same braid type provided that their Hofer distance is sufficiently small. As a corollary, the pseudometrics defined by Morabito are nondegenerate.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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