No abstract

The Masur domain is a subset of the space of projective measured geodesic laminations on the boundary of a 3-manifold M . This domain plays an important role in the study of the hyperbolic structures on the interior of M . In this paper, we define an extension of the Masur domain and explain that it shares a lot of properties with the Masur domain.

Abstract. In this paper, we give a complete criterion for a discrete faithful representation ρ : Fn→PSL(2, C) to be primitive stable. This will answer Minsky's conjectures about geometric conditions on H 3 /ρ(Fn) regarding the primitive stability of ρ.

ABSTRACT. We characterize sequences of Kleinian surface groups with convergent subsequences in terms of the asymptotic behavior of the ending invariants of the associated hyperbolic 3-manifolds. Asymptotic behavior of end invariants in a convergent sequence predicts the parabolic locus of the algebraic limit as well as how the algebraic limit wraps within the geometric limit under the natural locally isometric covering map.