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
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