An irreducible Heegaard diagram of the real projective 3-space .
Andreev’s Theorem on hyperbolic polyhedra
In 1970, E.M.Andreev published a classification of all three-dimensional compact hyperbolic polyhedra (other than tetrahedra) having non-obtuse dihedral angles. Given a combinatorial description of a polyhedron, , Andreev’s Theorem provides five classes of linear inequalities, depending on , for the dihedral angles, which are necessary and sufficient conditions for the existence of a hyperbolic polyhedron realizing with the assigned dihedral angles. Andreev’s Theorem also shows that the resulting...
Arithmetic hyperbolic surface bundles.
Around the Borromean link.
This is a survey of some consequences of the fact that the fundamental group of the orbifold with singular set the Borromean link and isotropy cyclic of order 4 is a universal kleinian group.
Attaching handlebodies to 3-manifolds.
Au bord de certains polyèdres hyperboliques
Le cadre de cet article est celui des groupes et des espaces hyperboliques de M. Gromov. Il est motivé par la question suivante : comment différencier deux groupes hyperboliques à quasi-isométrie près ? On illustre ce problème en détaillant un exemple de M. Gromov issu de Asymptotic invariants for infinite groups. On décrit une famille infinie de groupes hyperboliques, deux à deux non quasi-isométriques, de bord la courbe de Menger. La méthode consiste à étudier leur structure quasi-conforme au...
Boundary curves of surfaces with the 4--plane property.
Bounds on exceptional Dehn filling.
Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen
The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.
Cappell-Shaneson's 4-dimensional -cobordism.
Character varieties of mutative 3-manifolds.
Chirurgies de Dehn admissibles dans les variétés de contact tendues
On décrit un exemple de variété de contact universellement tendue qui devient vrillée après une chirurgie de Dehn admissible sur un entrelacs transverse.
Classification of dodecahedral space forms.
Closed Curves and Geodesics with Two Self-Intersections on the Punctured Torus.
Combins of Semidrect Products and 3-Manifold Groups.
Complements of tori and Klein bottles in the 4-sphere that have hyperbolic structure.
Computing arithmetic invariants of 3-manifolds.
Computing immersed normal surfaces in the figure-eight knot complement.
Computing triangulations of mapping tori of surface homeomorphisms.
Computing varieties of representations of hyperbolic 3-manifolds into .