Classification of Rauzy classes in the moduli space of quadratic differentials

Details Classification of Rauzy classes in the moduli space of quadratic differentials Classification of Rauzy classes in the moduli space of quadratic differentials

2009-04-24

arxiv.org/abs/0904.3826v1

Mathematics

Geometric Topology

28 pages, 11 figures

Scientific paper

We study relations between Rauzy classes coming from an interval exchange map
and the corresponding connected components in 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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