Milnor invariants of clover links
Milnor invariants of clover links
复制标题
三叶草链接的米尔诺不变量
DOI：
10.1142/s0129167x16501081
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发表时间：
2016
影响因子：
0.6
通讯作者：
Kodai Wada and Akira Yasuhara
中科院分区：
文献类型：
--
作者：
Natsuka Kobayashi;Kodai Wada and Akira Yasuhara;K.Hikami and J.Lovejoy;Masatomo Takahashi;Kodai Wada and Akira Yasuhara
Levine引入了三叶草链接来研究链接的Milnor不变量的不确定性。他证明，对于一个三叶草链接，米尔诺尔数的长度达到是明确的，如果那些长度消失，并米尔诺尔数的长度至少不是明确的，如果那些长度生存。对于长度为零的Milnor数的三叶草链，我们证明了序列的Milnor数是通过取模的最大公约数而定义的，其中是通过去除至少个指标而得到的任何真子序列。此外，如果是一个长度不重复的序列，明确给出了的可能范围。作为应用，我们给出了三叶草链的边同伦分类。
Levine introduced clover links to investigate the indeterminacy of Milnor invariants of links. He proved that for a clover link, Milnor numbers of length up toare well-defined if those of lengthvanish, and that Milnor numbers of length at leastare not well-defined if those of lengthsurvive. For a clover linkwith vanishing Milnor numbers of length, we show that the Milnor numberfor a sequenceis well-defined by taking modulo the greatest common divisor of the, whereis any proper subsequence ofobtained by removing at leastindices. Moreover, ifis a non-repeated sequence of length, the possible range ofis given explicitly. As an application, we give an edge-homotopy classification of-clover links.