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Convergence properties of
end invariants
Jeffrey F Brock, Kenneth W Bromberg, Richard D Canary and Yair N Minsky |
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Geometry & Topology 17 (2013) 2877–2922
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Abstract |
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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. |
Keywords
Kleinian group, hyperbolic 3–manifold, end invariant,
ending lamination
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Mathematical Subject Classification 2010
Primary: 30F40, 57M50
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References |
Publication
Received: 23 August 2012
Revised: 16 January 2013
Accepted: 19 March 2013
Published: 14 October 2013
Proposed: David Gabai
Seconded: Benson Farb, Martin R Bridson
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Authors |
| Jeffrey F Brock | |
| Department of Mathematics Brown University Box 1917 Providence, RI 02912 USA |
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| http://www.math.brown.edu/~brock/ | |
| Kenneth W Bromberg | |
| Department of Mathematics University of Utah 155 S 1400 E Salt Lake City, UT 84112 USA |
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| http://www.math.utah.edu/~bromberg/ | |
| Richard D Canary | |
| Department of Mathematics University of Michigan, Ann Arbor 2074 East Hall 530 Church St Ann Arbor, MI 48109-1043 USA |
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| http://www.math.lsa.umich.edu/~canary | |
| Yair N Minsky | |
| Department of Mathematics Yale University 10 Hillhouse Ave PO Box 208283 New Haven, CT 06511 USA |
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| http://www.math.yale.edu/users/yair | |
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