4 papers
Topology of leaves for minimal laminations by non-simply connected hyperbolic surfaces
Sébastien Alvarez, Joaquín Brum
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces whose generic leaf is homeomorphic to a Cantor tree. Then, we show that all allowed…
Earthquakes and graftings of hyperbolic surface laminations
Sébastien Alvarez, Graham Smith
We study compact hyperbolic surface laminations. These are a generalization of closed hyperbolic surfaces which appear to be more suited to the study of Teichmüller theory than arb…
Entropy, Lyapunov exponents, and rigidity of group actions
Aaron W. Brown, Sébastien Alvarez, Dominique Malicet +4
This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teresó…
The Teichmüller space of the Hirsch foliation
Sébastien Alvarez, Pablo Lessa
We prove that the Teichmüller space of the Hirsch foliation (a minimal foliation of a closed 3-manifold by non-compact hyperbolic surfaces) is homeomorphic to the space of closed c…