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- W4302435559 abstract "Rauzy Classes and Extended Rauzy Classes are equivalence classes of permutations that arise when studying Interval Exchange Transformations. In 2003, Kontsevich and Zorich classified Extended Rauzy Classes by using data from Translation Surfaces, which are associated to IET's thanks to the Zippered Rectangle Construction of Veech from 1982. In 2009, Boissy finalized the classification of Rauzy Classes also using information from Translation Surfaces. We present in this paper specialized moves in (Extended) Rauzy Classes that allows us to prove the sufficiency and necessity in the previous classification theorems. These results provide a complete, and purely combinatorial, proof of these known results. We end with some general statements about our constructed move." @default.
- W4302435559 created "2022-10-06" @default.
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- W4302435559 date "2012-12-30" @default.
- W4302435559 modified "2023-10-16" @default.
- W4302435559 title "A Combinatorial Proof of the Kontsevich-Zorich-Boissy Classification of Rauzy Classes" @default.
- W4302435559 doi "https://doi.org/10.48550/arxiv.1212.6742" @default.
- W4302435559 hasPublicationYear "2012" @default.
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