English

Classification of Rauzy classes in the moduli space of quadratic differentials

Geometric Topology 2013-05-17 v2

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.

Keywords

Cite

@article{arxiv.0904.3826,
  title  = {Classification of Rauzy classes in the moduli space of quadratic differentials},
  author = {Corentin Boissy},
  journal= {arXiv preprint arXiv:0904.3826},
  year   = {2013}
}

Comments

32 pages, 11 figures