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arXiv:1502.05654math.DS

The Magic Wand Theorem of A. Eskin and M. Mirzakhani

Anton Zorich

Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.

Abstract

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.

arXiv comments
Journal reference
Gazette des mathématiciens, 142 (2014) 39-54
DOI
Subjects
math.DSDynamical Systems

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Discussed in comments1 thread

    • Maybe I’m overly annoyable right now but I was unable to find, in the first 20 or so paragraphs of fluff, a statement of what the theorem actually is, and barely a hint of even what field it’s in. Is there a better write up anywhere that actually talks about the math rather than…

      mokusView on HNParent context

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