2 citations · 2 across the 3 of their papers we have counts for
5 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…
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}…
Non-orientable 3-manifolds of small complexity
Gennaro Amendola, Bruno Martelli
We classify all closed non-orientable P2-irreducible 3-manifolds having complexity up to 6 and we describe some having complexity 7. We show in particular that there is no such man…
A New Decomposition Theorem for 3-Manifolds
Bruno Martelli, Carlo Petronio
Let M be a (possibly non-orientable) compact 3-manifold with (possibly empty) boundary consisting of tori and Klein bottles. Let be a trivalent graph such that…
3-Manifolds with complexity at most 9
Bruno Martelli, Carlo Petronio
We describe an algorithm which has enabled us to give a complete list, without repetitions, of all closed oriented irreducible 3-manifolds of complexity up to 9. More interestingly…