Classification of Rauzy classes in the moduli space of Abelian and quadratic differentials
Corentin Boissy
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.
keywords: Rauzy classes Moduli spaces. Interval exchange maps linear involutions quadratic differentials

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