## Geometry & Topology

### Convergence properties of end invariants

#### 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.

#### Article information

Source
Geom. Topol., Volume 17, Number 5 (2013), 2877-2922.

Dates
Revised: 16 January 2013
Accepted: 19 March 2013
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513732690

Digital Object Identifier
doi:10.2140/gt.2013.17.2877

Mathematical Reviews number (MathSciNet)
MR3190301

Zentralblatt MATH identifier
06217242

#### Citation

Brock, Jeffrey F; Bromberg, Kenneth W; Canary, Richard D; Minsky, Yair N. Convergence properties of end invariants. Geom. Topol. 17 (2013), no. 5, 2877--2922. doi:10.2140/gt.2013.17.2877. https://projecteuclid.org/euclid.gt/1513732690

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