Convergence properties of end invariants
Jeffrey F. Brock, Kenneth W. Bromberg, Richard D. Canary, Yair N., Minsky
TL;DR
This paper investigates the behavior of ending invariants in Kleinian surface groups, establishing continuity properties and analyzing the geometric structure of bounded curve sets and their projections.
Contribution
It introduces new continuity results for ending invariants and provides a detailed analysis of bounded curve sets and their projections in Kleinian groups.
Findings
Proves a continuity property for ending invariants.
Shows projections of bounded curve sets are close to geodesics.
Analyzes the structure of bounded curve sets in the context of Kleinian groups.
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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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology