Michel Boileau

Uniformization of small 3-orbifolds

Abstract We prove a uniformization theorem for small compact orientable 3-orbifolds, that implies Thurstons orbifold theorem.

On character varieties, sets of discrete characters, and nonzero degree maps

A {\it knot manifold} is a compact, connected, irreducible, orientable

Graph manifold ℤ-homology 3-spheres and taut foliations

3

Finiteness of 3-manifolds associated with non-zero degree mappings

-manifold whose boundary is an incompressible torus. We first investigate virtual epimorphisms between the fundamental groups of small knot manifolds and prove minimality results for small knot manifolds with respect to nonzero degree maps. These results are applied later in the paper where we fix a small knot manifold

On π-Hyperbolic Knots which are Determined by their 2-Fold and 4-Fold Cyclic Branched Coverings

M

Meridional rank and bridge number for a class of links

and investigate various sets of characters of representations

Degree one maps between small 3–manifolds and Heegaard genus

\rho: \pi_1(M) \to {\rm PSL}_2(\Bbb{C})

Roots of torsion polynomials and dominations

whose images are discrete. We show that the topology of these sets is intimately related to the algebraic structure of the

DEGREE ONE MAPS BETWEEN HYPERBOLIC SMALL 3-MANIFOLDS

{\rm PSL}_2(\Bbb{C})

On invertible generating pairs of fundamental groups of graph manifolds

-character variety of