%0 Journal Article
%T Triangulated cores of punctured-torus groups
%A Francois Gueritaud
%J Mathematics
%D 2006
%I arXiv
%X We show that the interior of the convex core of a quasifuchsian punctured-torus group admits an ideal decomposition (usually an infinite triangulation) which is canonical in two different senses: in a combinatorial sense via the pleating invariants, and in a geometric sense via an Epstein-Penner convex hull construction in Minkowski space. The result extends to certain non-quasifuchsian punctured-torus groups, and in fact to all of them if a strong version of the Pleating Lamination Conjecture is true.
%U http://arxiv.org/abs/math/0605481v1