论文标题
米尔诺不变的示意图
A diagrammatical characterization of Milnor invariants
论文作者
论文摘要
本文的目的是给出链接和字符串链接的Milnor不变式信息的信息表征。更确切地说，我们描述了两个字符串链接何时具有相等的MILNOR不变性$ \ leq Q $，以及一个链接具有Lenght $ \ leq Q $的微不足道的Milnor不变性。这将通过使用焊接结理论来完成，涉及箭头微积分和$ w_q $的概念 - J-B引入的和解。 Meilhan和A. Yasuhara。将这些结果与J. Conant，R。Schneiderman和P. Teichner获得的最高$ C_Q $的链接分类进行比较。
The goal of this paper is to give a diagrammatical characterization of the information given by the Milnor invariants of links and string links. More precisely, we describe when two string links have equal Milnor invariants of length $\leq q$ and when a link has trivial Milnor invariants of lenght $\leq q$. This will be done through the use of welded knot theory, involving the notions of arrow calculus and $w_q$--concordance introduced by J-B. Meilhan and A. Yasuhara. These results is to be compared to the classification of links up to $C_q$--concordance obtained by J. Conant, R. Schneiderman and P. Teichner.
