论文标题

k降低的群体和米尔诺不变

k-reduced groups and Milnor invariants

论文作者

Audoux, Benjamin, Meilhan, Jean-Baptiste, Yasuhara, Akira

论文摘要

我们以代数和图表的方式表征了Milnor String链接不变性,该序列由序列索引,其中任何索引出现最多$ K $ times,对于任何固定的$ k \ ge 1 $。代数表征是根据对所谓的$ k $降低免费组的类似Artin式动作进行的;图表表征使用了焊接结理论的范围。还解决了链接案例。

We characterize, in an algebraic and in a diagrammatic way, Milnor string link invariants indexed by sequences where any index appears at most $k$ times, for any fixed $k\ge 1$. The algebraic characterization is given in terms of an Artin-like action on the so-called $k$-reduced free groups; the diagrammatic characterization uses the langage of welded knot theory. The link case is also addressed.

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