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arxiv: 1208.3983 · v1 · pith:AXUGMAGHnew · submitted 2012-08-20 · 🧮 math.GT · math.DG

Convergence properties of end invariants

classification 🧮 math.GT math.DG
keywords invariantsboundedendinggroupsprojectionsanalyzecontinuityconvergence
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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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