Title:
Classification fo tight contact structures on the Weeks manifold
Classification fo tight contact structures on the Weeks manifold
| dc.contributor.advisor | Etnyre, John B. | |
| dc.contributor.author | Min, Hyun Ki | |
| dc.contributor.committeeMember | Hom, Jen | |
| dc.contributor.committeeMember | Ghomi, Mohammad | |
| dc.contributor.committeeMember | Margalit, Dan | |
| dc.contributor.committeeMember | Honda, Ko | |
| dc.contributor.department | Mathematics | |
| dc.date.accessioned | 2021-09-09T16:28:09Z | |
| dc.date.available | 2021-09-09T16:28:09Z | |
| dc.date.created | 2021-08 | |
| dc.date.issued | 2021-08-18 | |
| dc.date.submitted | August 2021 | |
| dc.date.updated | 2021-09-09T16:28:09Z | |
| dc.description.abstract | One of important problems in 3-dimensional contact geometry is to figure out which 3-manifolds admit tight contact structures and classify tight contact structures on the manifolds which admit tight contact structures. It turned out that this problem is closely related to the topology of 3-manifolds. For Seifert fibered spaces and toroidal manifolds, there has been a lot of results. On the other hand, there has been relatively few results for hyperbolic manifolds. In this thesis, we classify tight contact structures on the Weeks manifold, which is a hyperbolic L-space, having the smallest volume among all closed orientable hyperbolic 3-manifolds. | |
| dc.description.degree | Ph.D. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1853/64936 | |
| dc.publisher | Georgia Institute of Technology | |
| dc.subject | Tight contact structures, hyperbolic manifolds, Weeks manifold | |
| dc.title | Classification fo tight contact structures on the Weeks manifold | |
| dc.type | Text | |
| dc.type.genre | Dissertation | |
| dspace.entity.type | Publication | |
| local.contributor.advisor | Etnyre, John B. | |
| local.contributor.corporatename | College of Sciences | |
| local.contributor.corporatename | School of Mathematics | |
| relation.isAdvisorOfPublication | a9264768-2f0a-4f64-842d-cff98031262b | |
| relation.isOrgUnitOfPublication | 85042be6-2d68-4e07-b384-e1f908fae48a | |
| relation.isOrgUnitOfPublication | 84e5d930-8c17-4e24-96cc-63f5ab63da69 | |
| thesis.degree.level | Doctoral |