English

Primitive stable representations of free Kleinian groups

Geometric Topology 2015-03-13 v5

Abstract

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

Cite

@article{arxiv.1003.2055,
  title  = {Primitive stable representations of free Kleinian groups},
  author = {W. Jeon and I. Kim and K. Ohshika with C. Lecuire},
  journal= {arXiv preprint arXiv:1003.2055},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T14:55:56.646Z