Classification of Rauzy classes in the moduli space of quadratic differentials

Corentin Boissy

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arXiv · 0904.3826

Classification of Rauzy classes in the moduli space of quadratic differentials

Corentin Boissy

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Abstract

We study relations between Rauzy classes coming from an interval exchange map and the corresponding connected components of strata of the moduli space of Abelian differentials. This gives a criterion to decide whether two permutations are in the same Rauzy class or not, without actually computing them. We prove a similar result for Rauzy classes corresponding to quadratic differentials.

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BibTeX RIS

Corentin Boissy. 2009-04-24. Classification of Rauzy classes in the moduli space of quadratic differentials. https://arxiv.org/abs/0904.3826

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