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
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.