Filling links and minimal surfaces in 3-manifolds
| dc.contributor.advisor | Reid, Alan W | |
| dc.creator | Stagner, William | |
| dc.date.accessioned | 2022-09-26T19:22:01Z | |
| dc.date.available | 2022-09-26T19:22:01Z | |
| dc.date.created | 2022-05 | |
| dc.date.issued | 2022-04-22 | |
| dc.date.submitted | May 2022 | |
| dc.date.updated | 2022-09-26T19:22:01Z | |
| dc.description.abstract | This thesis studies this existence of filling links 3-manifolds. A link L in a 3-manifold M is filling in M if, for any spine G of M disjoint from L, π_1(G) injects into π_1(M-L). Conceptually, a filling link cuts through all of the topology 3-manifold. These links were first studied by Freedman-Krushkal in the concrete case of the 3-torus M = T^3, but they leave open the question of whether a filling link actually exists in T^3. We answer this question affirmatively by proving in fact that every closed, orientable 3-manifold M with fundamental group of rank 3 contains a filling link. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | Stagner, William. "Filling links and minimal surfaces in 3-manifolds." (2022) Diss., Rice University. <a href="https://hdl.handle.net/1911/113390">https://hdl.handle.net/1911/113390</a>. | |
| dc.identifier.uri | https://hdl.handle.net/1911/113390 | |
| dc.language.iso | eng | |
| dc.rights | Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder. | |
| dc.subject | 3-manifolds | |
| dc.subject | hyperbolic manifolds | |
| dc.subject | minimal surfaces | |
| dc.subject | low-dimensional topology | |
| dc.title | Filling links and minimal surfaces in 3-manifolds | |
| dc.type | Thesis | |
| dc.type.material | Text | |
| thesis.degree.department | Mathematics | |
| thesis.degree.discipline | Natural Sciences | |
| thesis.degree.grantor | Rice University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Doctor of Philosophy |