Reducible and toroidal Dehn filling with distance 3
dc.contributor.advisor | Gordon, Cameron, 1945- | en |
dc.creator | Kang, Sungmo | en |
dc.date.accessioned | 2009-11-05T20:39:52Z | en |
dc.date.accessioned | 2017-05-11T22:19:45Z | |
dc.date.available | 2009-11-05T20:39:52Z | en |
dc.date.available | 2017-05-11T22:19:45Z | |
dc.date.issued | 2009-08 | en |
dc.description | text | en |
dc.description.abstract | This dissertation is an investigation into the classification of all hyperbolic manifolds which admit a reducible Dehn filling and a toroidal Dehn filling with distance 3. The first example was given by Boyer and Zhang. They used the Whitehead link. Eudave-Muñoz and Wu gave an infinite family of such hyperbolic manifolds using tangle arguments. I show in this dissertation that these are the only hyperbolic manifolds admitting a reducible Dehn filling and a toroidal Dehn filling with distance 3. The main tool to prove this is to use the intersection graphs on surfaces introduced and developed by Gordon and Luecke. | en |
dc.description.department | Mathematics | en |
dc.format.medium | electronic | en |
dc.identifier.uri | http://hdl.handle.net/2152/6682 | en |
dc.language.iso | eng | en |
dc.rights | Copyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works. | en |
dc.subject | Reducible Dehn filling | en |
dc.subject | Toroidal Dehn filling | en |
dc.subject | Distance 3 | en |
dc.subject | Whitehead link | en |
dc.subject | Hyperbolic manifolds | en |
dc.subject | Tangle arguments | en |
dc.title | Reducible and toroidal Dehn filling with distance 3 | en |