焊接连杆Milnor不变量的组合方法

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2020-03-30 DOI:10.1307/mmj/20205905

H. A. Miyazawa, K. Wada, A. Yasuhara

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引用次数: 5

摘要

对于一个经典链，Milnor定义了一个同位素不变量族，称为Milnor $\overline{\mu}$ -不变量。最近，克里斯曼通过拓扑方法将米尔诺$\overline{\mu}$不变量扩展到焊接链路。本文的目的是证明Milnor $\overline{\mu}$ -不变量可以通过组合方法推广到焊接环节。该证明包含了原始的$\overline{\mu}$不变性的替代证明-经典链接的不变性。

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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Combinatorial Approach to Milnor Invariants of Welded Links

For a classical link, Milnor defined a family of isotopy invariants, called Milnor $\overline{\mu}$-invariants. Recently, Chrisman extended Milnor $\overline{\mu}$-invariants to welded links by a topological approach. The aim of this paper is to show that Milnor $\overline{\mu}$-invariants can be extended to welded links by a combinatorial approach. The proof contains an alternative proof for the invariance of the original $\overline{\mu}$-invariants of classical links.

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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.