4 papers
Countable groups are mapping class groups of hyperbolic 3-manifolds
Roberto Frigerio, Bruno Martelli
We prove that for every countable group G there exists a hyperbolic 3-manifold M such that the isometry group of M, the mapping class group of M, and the outer automorphism group o…
An infinite family of hyperbolic graph complements in S^3
Roberto Frigerio
For any g>1 we construct a graph G_g in S^3 whose exterior M_g supports a complete finite-volume hyperbolic structure with one toric cusp and a connected geodesic boundary of genus…
Dehn filling of cusped hyperbolic 3-manifolds with geodesic boundary
Roberto Frigerio, Bruno Martelli, Carlo Petronio
We define for each g>=2 and k>=0 a set M_{g,k} of orientable hyperbolic 3-manifolds with toric cusps and a connected totally geodesic boundary of genus g. Manifolds in M_{g,k}…
Construction and Recognition of Hyperbolic 3-Manifolds with Geodesic Boundary
R. Frigerio, C. Petronio
We extend to the context of hyperbolic 3-manifolds with geodesic boundary Thurston's approach to hyperbolization by means of geometric triangulations. In particular, we introduce m…