%0 Journal Article %T Classification of Rauzy classes in the moduli space of quadratic differentials %A Corentin Boissy %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0904.3826v2