论文标题

焊接链接的MILNOR不变的组合方法

Combinatorial approach to Milnor invariants of welded links

论文作者

Miyazawa, Haruko A., Wada, Kodai, Yasuhara, Akira

论文摘要

对于经典的链接,Milnor定义了一个同位素不变的家族,称为Milnor $ \Overlineμ$ -Invariants。最近,Chrisman通过拓扑方法扩展了Milnor $ \Overlineμ$ invariants,以焊接链接。本文的目的是表明,Milnor $ \Overlineμ$ -Invariants可以通过组合方法扩展到焊接链接。该证明包含了原始$ \Overlineμ$ $ invariants古典链接的不变性的替代证明。

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

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