Primitive stable representations of free Kleinian groups

Abstract

In this paper, we give a complete criterion for a discrete faithful representation $ρ:F_n \ra \pslc$ to be primitive stable. This will answer Minsky's conjectures about geometric conditions on $\H^3/ρ(F_n)$ regarding the primitive stability of $\rho$.

Revised according to referee report, Corrected some errors, Twisted I-bundle case is added as a separate section