Abstract. We introduce and study local combinatorial conditions on a simplicial complex, implying Gro-mov hyperbolicity of its universal cover. We apply the theory to Thurston’s problem on 5/6∗–triangulations of 3–manifolds, providing a new proof and generalizing the original result. We indicate further applications. 1
International audienceBounded-type 3-manifolds arise as combinatorially bounded gluings of irreducib...
We compute for all orientable irreducible geometric 3-manifolds certain complexity functions that ap...
We extend to the context of hyperbolic 3-manifolds with geodesic boundary Thurston's approach to hyp...
Abstract. We introduce and study local combinatorial conditions on a simplicial complex, implying Gr...
The aim of this paper is to demonstrate that very many Dehn fillings on a cusped hyperbolic 3-manifo...
AbstractThurston conjectured that a closed triangulated 3-manifold in which every edge has degree 5 ...
We give a brief survey of some recent work on 3-manifolds, notably towards proving Thurston's ending...
We give a characteristion of models of hyperbolic 3-manifolds in terms of Gromov hyperbolicity. Let ...
UnrestrictedWe explicitly construct the unique hyperbolic metric carried by the following three -- d...
We give a combinatorial representation of compact connected orientable 3-manifolds with boundary and...
We give a combinatorial representation of compact connected orientable 3-manifolds with boundary and...
Abstract. In this paper we introduce a class of polygonal com-plexes for which we can define a notio...
Abstract. Using PL-methods, we prove the Marden’s conjecture that a hyperbolic 3-manifold M with fin...
Dedicated to the memory of our dear friend Marco Reni Summary.- We give a combinatorial representati...
Triangulations are among the most important and well-studied objects in computational geometry. A tr...
International audienceBounded-type 3-manifolds arise as combinatorially bounded gluings of irreducib...
We compute for all orientable irreducible geometric 3-manifolds certain complexity functions that ap...
We extend to the context of hyperbolic 3-manifolds with geodesic boundary Thurston's approach to hyp...
Abstract. We introduce and study local combinatorial conditions on a simplicial complex, implying Gr...
The aim of this paper is to demonstrate that very many Dehn fillings on a cusped hyperbolic 3-manifo...
AbstractThurston conjectured that a closed triangulated 3-manifold in which every edge has degree 5 ...
We give a brief survey of some recent work on 3-manifolds, notably towards proving Thurston's ending...
We give a characteristion of models of hyperbolic 3-manifolds in terms of Gromov hyperbolicity. Let ...
UnrestrictedWe explicitly construct the unique hyperbolic metric carried by the following three -- d...
We give a combinatorial representation of compact connected orientable 3-manifolds with boundary and...
We give a combinatorial representation of compact connected orientable 3-manifolds with boundary and...
Abstract. In this paper we introduce a class of polygonal com-plexes for which we can define a notio...
Abstract. Using PL-methods, we prove the Marden’s conjecture that a hyperbolic 3-manifold M with fin...
Dedicated to the memory of our dear friend Marco Reni Summary.- We give a combinatorial representati...
Triangulations are among the most important and well-studied objects in computational geometry. A tr...
International audienceBounded-type 3-manifolds arise as combinatorially bounded gluings of irreducib...
We compute for all orientable irreducible geometric 3-manifolds certain complexity functions that ap...
We extend to the context of hyperbolic 3-manifolds with geodesic boundary Thurston's approach to hyp...
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