Sur l'espace des surfaces à courbure et aire bornées
Sur l'espace des surfaces à courbure et aire bornées
A graph is attached to a Riemannian surface whose diameter is large compared to its curvature and area. This yields a coarse compactification of the space of surfaces with bounded area and curvature. For constant curvature -1 surfaces, this represents a kind of metric skeleton of the moduli space.