Our aim of this and subsequent papers is to enlighten (a part of, presumably) arithmetic structures of knots. This paper introduces a notion of profinite knots which extends topological knots and shows its various basic properties. Particularly an action of the absolute Galois group of the rational number field on profinite knots is rigorously established, which is attained by our extending the action of Drinfeld's Grothendieck-Teichm\"{u}ller group on profinite braid groups into on profinite knots.

中文翻译：

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对节点的伽罗瓦作用 I：绝对伽罗瓦群的作用

我们这篇论文和后续论文的目的是启发（大概是）结的算术结构。本文介绍了超限结的概念，它扩展了拓扑结并展示了其各种基本性质。特别是有理数域的绝对伽罗瓦群对超限结的作用是严格建立的，这是通过我们将 Drinfeld 的 Grothendieck-Teichm\"{u}ller 群对超限编织群的作用扩展到超限结上来实现的。