31 citations · 33 across the 4 of their papers we have counts for
4 papers · 1 filter
Delaunay triangulations of lens spaces
Francois Gueritaud
We compute the convex hull in of an arbitrary finite subgroup of . The combinatorics are dictated by continued fractions in a natural way. This rep…
Angled decompositions of arborescent link complements
David Futer, François Guéritaud
This paper describes a way to subdivide a 3-manifold into angled blocks, namely polyhedral pieces that need not be simply connected. When the individual blocks carry dihedral angle…
Triangulated cores of punctured-torus groups
Francois Gueritaud
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 di…
On canonical triangulations of once-punctured torus bundles and two-bridge link complements
Francois Gueritaud, David Futer
We prove the hyperbolization theorem for punctured torus bundles and two-bridge link complements by decomposing them into ideal tetrahedra which are then given hyperbolic structure…