2 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
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…
Veech groups without parabolic elements
Pascal Hubert, Erwan Lanneau
We prove that a ``bouillabaisse'' surface (translation surface which has two transverse parabolic elements) has totally real trace field. As a corollary, non trivial Veech groups w…
Hyperelliptic Components of the Moduli Spaces of Quadratic Differentials with Prescribed Singularities
Erwan Lanneau
Moduli spaces of quadratic differentials with prescribed singularities are not necessarily connected. We describe here all cases when they have a special hyperelliptic connected co…