Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01b2773z86b
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dc.contributor.authorZung, Jonathan
dc.contributor.otherMathematics Department
dc.date.accessioned2022-06-16T20:34:56Z-
dc.date.available2022-06-16T20:34:56Z-
dc.date.created2022-01-01
dc.date.issued2022
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/dsp01b2773z86b-
dc.description.abstractIn this thesis, we explore two aspects of the topology of codimension 1 foliations on 3-manifolds. In the first part, we study branching in their leaf spaces. We show that for a large class of foliations, the leaf space admits a map to \R such that the action of the fundamental group on the leaf space descends to a Homeo^+(\R) representation. In the second part, we study the holonomy of foliations. We give a new approach to the Eliashberg-Thurston perturbation of foliations into contact structures. Our approach gives control on the Reeb flow of the resulting contact structure, and in particular produces hypertight contact structures.
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherPrinceton, NJ : Princeton University
dc.relation.isformatofThe Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog: <a href=http://catalog.princeton.edu>catalog.princeton.edu</a>
dc.subject.classificationMathematics
dc.titleAspects of the topology of foliations on 3-manifolds