In this paper we construct quasiconformal embeddings from Y-pieces that contain a short boundary geodesic into degenerate ones. These results are used in a companion paper to study the Jacobian tori of Riemann surfaces that contain small simple closed geodesics.
Jürgpeter Buser, Robert Silhol
Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel