Add to ORKGAbstract. Recently, Ian Agol introduced a class of “veering ” ideal triangulations for mapping tori of pseudo-Anosov homeomorphisms of surfaces punctured along the singular points. These triangulations have very special combinatorial properties, and Agol asked if these are “geomet-ric”, i.e. realised in the complete hyperbolic metric with all tetrahedra positively oriented. This paper describes a computer program Veering, building on the program Trains by Toby Hall, for generating these triangulations starting from a description of the homeomorphism as a product of Dehn twists. Using this we obtain the first examples of non-geometric veering triangulations; the smallest example we have found is a triangulation with 13 tetrahedra. 1
Abstract This is the second in a series of papers in which we investigate ideal triangulations of th...
An algorithm for constructing almost regular triangulations (ARTs) for polygonal domains is describe...
This thesis shows fundamental properties of pseudo-triangulation, its use as a planar tesselation an...
Agol recently introduced the concept of a veering taut triangulation of a 3–manifold, which is a tau...
Triangulations are among the most important and well-studied objects in computational geometry. A tr...
Thurston introduced a technique for finding and deforming three-dimensional hy-perbolic structures b...
Agol recently introduced the concept of a veering taut triangulation, which is a taut triangulation ...
UnrestrictedWe explicitly construct the unique hyperbolic metric carried by the following three -- d...
It is conjectured that every cusped hyperbolic 3-manifold has a decomposition into positive volume i...
In this thesis, we focus on the topological properties of surfaces, i.e. those that are preserved by...
This paper studies pseudo-triangulations for a given point set in the plane. Pseudo-triangulations h...
We study triangulations of spaces of constant negative curvature -1 from both theoretical and practi...
A census is presented of all closed non-orientable 3-manifold triangulations formed from at most sev...
The mapping class group is the group orientation preserving homeomorphisms of a surface up to isotop...
International audienceEarlier work on Delaunay triangulation of point sets on the 2D flat torus, whi...
Abstract This is the second in a series of papers in which we investigate ideal triangulations of th...
An algorithm for constructing almost regular triangulations (ARTs) for polygonal domains is describe...
This thesis shows fundamental properties of pseudo-triangulation, its use as a planar tesselation an...
Agol recently introduced the concept of a veering taut triangulation of a 3–manifold, which is a tau...
Triangulations are among the most important and well-studied objects in computational geometry. A tr...
Thurston introduced a technique for finding and deforming three-dimensional hy-perbolic structures b...
Agol recently introduced the concept of a veering taut triangulation, which is a taut triangulation ...
UnrestrictedWe explicitly construct the unique hyperbolic metric carried by the following three -- d...
It is conjectured that every cusped hyperbolic 3-manifold has a decomposition into positive volume i...
In this thesis, we focus on the topological properties of surfaces, i.e. those that are preserved by...
This paper studies pseudo-triangulations for a given point set in the plane. Pseudo-triangulations h...
We study triangulations of spaces of constant negative curvature -1 from both theoretical and practi...
A census is presented of all closed non-orientable 3-manifold triangulations formed from at most sev...
The mapping class group is the group orientation preserving homeomorphisms of a surface up to isotop...
International audienceEarlier work on Delaunay triangulation of point sets on the 2D flat torus, whi...
Abstract This is the second in a series of papers in which we investigate ideal triangulations of th...
An algorithm for constructing almost regular triangulations (ARTs) for polygonal domains is describe...
This thesis shows fundamental properties of pseudo-triangulation, its use as a planar tesselation an...