洛伦茨之夜
Les noeuds de Lorenz
摘要：
本文是对洛伦兹结的综述。我们描述了原来的建设，证明了几个经典的性质，特别是事实上，一个积极的辫子的封闭是一个纤维结，并描述Ghys的对应模块结和洛伦兹结之间。我们还证明了两个新的性质，即以下Ghys的对应，平凡轨道的洛伦兹流的图像形成一个子群的类组，并在类组中的元素和它的逆的反向图像是同位素轨道。
英文摘要：
This article is a survey on Lorenz knots. We describe the original construction, prove several classical properties, in particular the fact that the closure of a positive braid is a fibered knot, and describe Ghys'correspondance between modular knots and Lorenz knots. We also prove two new properties, namely that following Ghys' correspondance, the images of trivial orbits of the Lorenz flow form a subgroup of the class group, and that the reverse images of an element in the class group and of its inverse are isotopic orbits.
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