5 papers
Mayberry-Murasugi's formula for links in homology 3-spheres
Joan Porti
We prove Mayberry-Murasugi's formula for links in homology 3-spheres, which was proved before only for links in the 3-sphere. Our proof uses Franz-Reidemeister torsions.
Geometrization of 3-dimensional orbifolds, Part I: Geometry of cone manifolds
Michel Boileau, Bernhard Leeb, Joan Porti
This paper has been withdrawn, because its material has been revised and became part of paper math.GT/0010184
Geometrization of 3-dimensional orbifolds
Michel Boileau, Bernhard Leeb, Joan Porti
The purpose of this article is to give a proof of the Orbifold Theorem announced by Thurston in late 1981: If is a compact, connected, orientable, irreducible and topologically…
Negatively Oriented Ideal Triangulations and a Proof of Thurston's Hyperbolic Dehn Filling Theorem
Carlo Petronio, Joan Porti
We give a complete proof of Thurston's celebrated hyperbolic Dehn filling theorem, following the ideal triangulation approach of Thurston and Neumann-Zagier. We avoid to assume tha…
Geometrization of 3-orbifolds of cyclic type
M. Boileau, J. Porti
We give a complete proof of Thurston's Orbifold Theorem for very good 3-orbifolds of cyclic type. An orbifold is said to be very good when it has a finite cover which is a manifold…