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math.GT2007★ 2 cited
Dynamics and geometry of the Rauzy-Veech induction for quadratic differentials
Corentin Boissy, Erwan Lanneau
Interval exchange maps are related to geodesic flows on translation surfaces; they correspond to the first return maps of the vertical flow on a transverse segment. The Rauzy-Veech…
math.GT2007
Completely periodic directions and orbit closures of many pseudo-Anosov Teichmueller discs in Q(1,1,1,1)
Pascal Hubert, Erwan Lanneau, Martin Moeller
In this paper, we investigate the closure of a large class of Teichmüller discs in the stratum Q(1,1,1,1) or equivalently, in a GL^+_2(R)-invariant locus L of translation surfaces…