Abstract
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.
Citation
Jeffrey F Brock. Kenneth W Bromberg. Richard D Canary. Yair N Minsky. "Convergence properties of end invariants." Geom. Topol. 17 (5) 2877 - 2922, 2013. https://doi.org/10.2140/gt.2013.17.2877
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