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arXiv · 1208.3983

Convergence properties of end invariants

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

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Jeffrey F. Brock, Kenneth W. Bromberg, Richard D. Canary, Yair N. Minsky. 2012-08-20. Convergence properties of end invariants. https://arxiv.org/abs/1208.3983

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