A.的魔杖定理Eskin和M. Mirzakhani
The Magic Wand Theorem of A. Eskin and M. Mirzakhani
摘要：
这是一个简短的说明刊登在Gazette des Mathématiciens的英文翻译。作者被要求介绍Alex Eskin和Maryam Mirzakhani，arXiv：1302.3320的最新工作，以及他们与Amir Mohammadi，arXiv：1305.3015的联合工作，关于阿贝尔微分的模空间上的SL（2，R）作用。这是一篇没有证据的普及论文。其唯一的目的是提出一些动机，并概述可能的应用考虑台球多边形作为一个例子。
英文摘要：
This is the English translation of a short note published by Gazette des Mathématiciens. The author was asked to present the recent work of Alex Eskin and of Maryam Mirzakhani, arXiv:1302.3320, and their joint work with Amir Mohammadi, arXiv:1305.3015, on SL(2,R)-action on the moduli space of Abelian differentials. This is a popularization paper with no proofs. Its only purpose is to suggest some motivations, and to outline possible applications considering billiards in polygons as an example.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
