Published 2006
| Version Published
Journal Article
Open
Shrinkwrapping and the taming of hyperbolic 3-manifolds
Creators
Abstract
We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to show that a complete hyperbolic 3-manifold with finitely generated fundamental group is geometrically and topologically tame.
Additional Information
Copyright 2005, by Danny Calegari and David Gabai. Received by editor(s): June 22, 2004. The first author is grateful to Nick Makarov for some useful analytic discussions. The second author is grateful to Michael Freedman for many long conversations in Fall 1996 which introduced him to the Tame Ends conjecture. He thanks Francis Bonahon, Yair Minsky and Jeff Brock for their interest and helpful comments. Part of this research was carried out while he was visiting Nara Women's University, the Technion and the Institute for Advanced Study. He thanks them for their hospitality. We thank the referees for their many thoughtful suggestions and comments.Attached Files
Published - CALjams06.pdf
Files
CALjams06.pdf
Additional details
Identifiers
- Eprint ID
- 13972
- Resolver ID
- CaltechAUTHORS:20090414-123644599
Funding
- NSF
- DMS-0405491
- NSF
- DMS-0071852
Dates
- Created
-
2009-04-14Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field