Knots on once-punctured torus fibers
| dc.contributor.advisor | Luecke, John Edwin | en |
| dc.creator | Baker, Kenneth Lee | en |
| dc.date.accessioned | 2008-08-28T21:49:07Z | en |
| dc.date.available | 2008-08-28T21:49:07Z | en |
| dc.date.issued | 2004 | en |
| dc.description | text | en |
| dc.description.abstract | We study knots that lie as essential simple closed curves on the fiber of a genus one fibered knot in S 3 . We determine certain surgery descriptions of these knots that enable estimates on volumes of these knots. We also develop an algorithm to list all closed essential surfaces in the complement of a given knot in this family. Relationships between the volumes of such knots and the surfaces in their exteriors is then examined. | |
| dc.description.department | Mathematics | en |
| dc.format.medium | electronic | en |
| dc.identifier | b5901121x | en |
| dc.identifier.oclc | 57551118 | en |
| dc.identifier.proqst | 3139184 | en |
| dc.identifier.uri | http://hdl.handle.net/2152/1157 | 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.lcsh | Knot theory | en |
| dc.subject.lcsh | Fiber bundles (Mathematics) | en |
| dc.subject.lcsh | Surgery (Topology) | en |
| dc.title | Knots on once-punctured torus fibers | en |
| dc.type.genre | Thesis | en |
| thesis.degree.department | Mathematics | en |
| thesis.degree.discipline | Mathematics | en |
| thesis.degree.grantor | The University of Texas at Austin | en |
| thesis.degree.level | Doctoral | en |
| thesis.degree.name | Doctor of Philosophy | en |