Title:
Branched covers of contact manifolds

dc.contributor.advisor Etnyre, John B.
dc.contributor.author Casey, Meredith Perrie
dc.contributor.committeeMember Kazez, Will
dc.contributor.committeeMember Margalit, Dan
dc.contributor.committeeMember Belegradek, Igor
dc.contributor.committeeMember Le, Thang
dc.contributor.department Mathematics
dc.date.accessioned 2014-01-13T16:48:05Z
dc.date.available 2014-01-13T16:48:05Z
dc.date.created 2013-12
dc.date.issued 2013-10-31
dc.date.submitted December 2013
dc.date.updated 2014-01-13T16:48:05Z
dc.description.abstract We will discuss what is known about the construction of contact structures via branched covers, emphasizing the search for universal transverse knots. Recall that a topological knot is called universal if all 3-manifold can be obtained as a cover of the 3-sphere branched over that knot. Analogously one can ask if there is a transverse knot in the standard contact structure on S³ from which all contact 3-manifold can be obtained as a branched cover over this transverse knot. It is not known if such a transverse knot exists.
dc.description.degree Ph.D.
dc.format.mimetype application/pdf
dc.identifier.uri http://hdl.handle.net/1853/50313
dc.language.iso en_US
dc.publisher Georgia Institute of Technology
dc.subject Branched covers
dc.subject Contact geometry
dc.subject.lcsh Contact manifolds
dc.subject.lcsh Topology
dc.subject.lcsh Manifolds (Mathematics)
dc.subject.lcsh Three-manifolds (Topology)
dc.subject.lcsh Covering spaces (Topology)
dc.title Branched covers of contact manifolds
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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