Classification of Rauzy classes in the moduli space of quadratic differentials

Corentin Boissy (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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.

Mots clés: Interval exchange maps; Linear involutions; Rauzy classes; Quadratic differentials; Moduli spaces

Domaines: Topologie géométrique [math.GT]

Corentin Boissy. Classification of Rauzy classes in the moduli space of quadratic differentials. Discrete and Continuous Dynamical Systems - Series A, 2012, 32 (10), pp.3433-3457. ⟨hal-00378386v2⟩