8 papers
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…
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…
Reidemeister Torsion of 3-Dimensional Euler Structures with Simple Boundary Tangency and Pseudo-Legendrian Knots
Riccardo Benedetti, Carlo Petronio
We generalize Turaev's definition of torsion invariants of pairs (M,x), where M is a 3-dimensional manifold and x is an Euler structure on M (a non-singular vector field up to homo…
Combed 3-Manifolds with Concave Boundary, Framed Links, and Pseudo-Legendrian Links
Riccardo Benedetti, Carlo Petronio
We provide combinatorial realizations, according to the usual objects/moves scheme, of the following three topological categories: (1) pairs (M,v) where M is a 3-manifold (up to di…