8 citations · 28 across the 14 of their papers we have counts for
14 papers
Relative systoles in hyperelliptic translation surfaces
Corentin Boissy, Slavyana Geninska
In this paper we prove that the systole fonction on a connected component of area one translation surfaces admits a local maximum that is not a global maximum if and only if the co…
The automorphism group of Rauzy diagrams
Corentin Boissy
We give a description of the automorphism group of a Rauzy diagram as a subgroup of the symmetric group. This is based on an example that appear in some personnal notes of Yoccoz t…
Systoles in translation surfaces
Corentin Boissy, Slavyana Geninska
For a translation surface, we define the systole to be the length of the shortest saddle connection. We give a characterization of the maxima of the systole function on a stratum,…
Geodesic length spectrum of hyperelliptic connected components
Corentin Boissy, Erwan Lanneau
We propose a general framework for studying pseudo-Anosov homeomorphisms on translation surfaces. This new approach, among other consequences, allows us to compute the systole of t…
Moduli space of meromorphic differentials with marked horizontal separatrices
Corentin Boissy
We study framed translation surfaces corresponding to meromorphic differentials on compact Riemann surfaces, for which a horizontal separatrix is marked for each pole or zero. Such…
A combinatorial move on the set of Jenkins-Strebel differentials
Corentin Boissy
We describe an elementary combinatorial move on the set of quadratic differentials with a horizontal one cylinder decom-position. Computer experiment suggests that the correspondin…