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dc.contributor.advisorEtnyre, John
dc.contributor.authorCasey, Meredith Perrie
dc.date.accessioned2014-01-13T16:48:05Z
dc.date.available2014-01-13T16:48:05Z
dc.date.created2013-12
dc.date.issued2013-10-31
dc.date.submittedDecember 2013
dc.identifier.urihttp://hdl.handle.net/1853/50313
dc.description.abstractWe 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.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherGeorgia Institute of Technology
dc.subjectBranched covers
dc.subjectContact geometry
dc.subject.lcshContact manifolds
dc.subject.lcshTopology
dc.subject.lcshManifolds (Mathematics)
dc.subject.lcshThree-manifolds (Topology)
dc.subject.lcshCovering spaces (Topology)
dc.titleBranched covers of contact manifolds
dc.typeDissertation
dc.description.degreePh.D.
dc.contributor.departmentMathematics
thesis.degree.levelDoctoral
dc.contributor.committeeMemberKazez, Will
dc.contributor.committeeMemberMargalit, Dan
dc.contributor.committeeMemberBelegradek, Igor
dc.contributor.committeeMemberLe, Thang
dc.date.updated2014-01-13T16:48:05Z


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