Convergence properties of end invariants

Jeffrey F. Brock, Kenneth W. Bromberg, Richard D. Canary, Yair N. Minsky

Published 2012-08-20Version 1

We prove a continuity property for ending invariants of convergent sequences of Kleinian surface groups. We also analyze the bounded curve sets of such groups and show that their projections to non-annular subsurfaces lie a bounded Hausdorff distance from geodesics joining the projections of the ending invariants.