37 citations · 202 across the 36 of their papers we have counts for
4 papers · 1 filter
Small hyperbolic 3-manifolds with geodesic boundary
Roberto Frigerio, Bruno Martelli, Carlo Petronio
We classify the orientable finite-volume hyperbolic 3-manifolds having non-empty compact totally geodesic boundary and admitting an ideal triangulation with at most four tetrahedra…
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…
Complexity and Heegaard genus of an infinite class of compact 3-manifolds
Roberto Frigerio, Bruno Martelli, Carlo Petronio
Using the theory of hyperbolic manifolds with totally geodesic boundary, we provide for every integer n greater than 1 a class of such manifolds all having Matveev complexity equal…
Dehn filling of the "magic" 3-manifold
Bruno Martelli, Carlo Petronio
We classify all the non-hyperbolic Dehn fillings of the complement of the chain-link with 3 components, conjectured to be the smallest hyperbolic 3-manifold with 3 cusps. We deduce…